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The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
Autore Gorodnik Alexander <1975->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2009
Descrizione fisica 1 online resource (136 p.)
Disciplina 515/.48
Altri autori (Persone) NevoAmos <1966->
Collana Annals of mathematics studies
Soggetto topico Ergodic theory
Lie groups
Lattice theory
Harmonic analysis
Dynamics
Soggetto non controllato Absolute continuity
Algebraic group
Amenable group
Asymptote
Asymptotic analysis
Asymptotic expansion
Automorphism
Borel set
Bounded function
Bounded operator
Bounded set (topological vector space)
Congruence subgroup
Continuous function
Convergence of random variables
Convolution
Coset
Counting problem (complexity)
Counting
Differentiable function
Dimension (vector space)
Diophantine approximation
Direct integral
Direct product
Discrete group
Embedding
Equidistribution theorem
Ergodic theory
Ergodicity
Estimation
Explicit formulae (L-function)
Family of sets
Haar measure
Hilbert space
Hyperbolic space
Induced representation
Infimum and supremum
Initial condition
Interpolation theorem
Invariance principle (linguistics)
Invariant measure
Irreducible representation
Isometry group
Iwasawa group
Lattice (group)
Lie algebra
Linear algebraic group
Linear space (geometry)
Lipschitz continuity
Mass distribution
Mathematical induction
Maximal compact subgroup
Maximal ergodic theorem
Measure (mathematics)
Mellin transform
Metric space
Monotonic function
Neighbourhood (mathematics)
Normal subgroup
Number theory
One-parameter group
Operator norm
Orthogonal complement
P-adic number
Parametrization
Parity (mathematics)
Pointwise convergence
Pointwise
Principal homogeneous space
Principal series representation
Probability measure
Probability space
Probability
Rate of convergence
Regular representation
Representation theory
Resolution of singularities
Sobolev space
Special case
Spectral gap
Spectral method
Spectral theory
Square (algebra)
Subgroup
Subsequence
Subset
Symmetric space
Tensor algebra
Tensor product
Theorem
Transfer principle
Unit sphere
Unit vector
Unitary group
Unitary representation
Upper and lower bounds
Variable (mathematics)
Vector group
Vector space
Volume form
Word metric
ISBN 1-282-30380-5
9786612303807
1-4008-3106-7
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index
Record Nr. UNINA-9910781200803321
Gorodnik Alexander <1975->  
Princeton, N.J., : Princeton University Press, 2009
Materiale a stampa
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Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos
Autore Halmos Paul R (Paul Richard), <1916-2006, >
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (206 pages)
Disciplina 512.52
Collana Annals of Mathematics Studies
Soggetto topico Transformations (Mathematics)
Generalized spaces
Soggetto non controllato Absolute value
Accuracy and precision
Addition
Affine space
Algebraic closure
Algebraic equation
Algebraic operation
Algebraically closed field
Associative property
Automorphism
Axiom
Banach space
Basis (linear algebra)
Bilinear form
Bounded operator
Cardinal number
Cayley transform
Characteristic equation
Characterization (mathematics)
Coefficient
Commutative property
Complex number
Complex plane
Computation
Congruence relation
Convex set
Coordinate system
Determinant
Diagonal matrix
Dimension (vector space)
Dimension
Dimensional analysis
Direct product
Direct proof
Direct sum
Division by zero
Dot product
Dual basis
Eigenvalues and eigenvectors
Elementary proof
Equation
Euclidean space
Existential quantification
Function of a real variable
Functional calculus
Fundamental theorem
Geometry
Gram–Schmidt process
Hermitian matrix
Hilbert space
Infimum and supremum
Jordan normal form
Lebesgue integration
Linear combination
Linear function
Linear independence
Linear map
Linear programming
Linearity
Manifold
Mathematical induction
Mathematics
Minimal polynomial (field theory)
Minor (linear algebra)
Monomial
Multiplication sign
Natural number
Nilpotent
Normal matrix
Normal operator
Number theory
Orthogonal basis
Orthogonal complement
Orthogonal coordinates
Orthogonality
Orthonormality
Polynomial
Quotient space (linear algebra)
Quotient space (topology)
Real number
Real variable
Scalar (physics)
Scientific notation
Series (mathematics)
Set (mathematics)
Sign (mathematics)
Special case
Spectral theorem
Spectral theory
Summation
Tensor calculus
Theorem
Topology
Transitive relation
Unbounded operator
Uncountable set
Unit sphere
Unitary transformation
Variable (mathematics)
Vector space
ISBN 1-4008-8223-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS
Record Nr. UNINA-9910154744503321
Halmos Paul R (Paul Richard), <1916-2006, >  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Functional Operators (AM-22), Volume 2 : The Geometry of Orthogonal Spaces. (AM-22) / / John von Neumann
Functional Operators (AM-22), Volume 2 : The Geometry of Orthogonal Spaces. (AM-22) / / John von Neumann
Autore von Neumann John
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (116 pages)
Disciplina 517.5
Collana Annals of Mathematics Studies
Soggetto topico Functional analysis
Geometry
Soggetto non controllato Affine space
Axiom
C0
Combination
Commutative property
Complex number
Corollary
Countable set
Dimension (vector space)
Dimension
Direct product
Discrete measure
Empty set
Euclidean space
Existential quantification
Finite set
Hilbert space
Infimum and supremum
Linear map
Linearity
Mutual exclusivity
Natural number
Ordinal number
Separable space
Sequence
Set (mathematics)
Special case
Subset
Summation
Theorem
Theory
Transfinite induction
Transfinite
Unbounded operator
Variable (mathematics)
Well-order
Well-ordering theorem
ISBN 1-4008-8225-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- CHAPTER XII. LINEAR SPACES -- CHAPTER XIII. LINEAR OPERATORS -- CHAPTER XIV. COMMUTATIVITY, REDUCTIBILITY
Record Nr. UNINA-9910154748003321
von Neumann John  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
K-Theory of Forms. (AM-98), Volume 98 / / Anthony Bak
Autore Bak Anthony
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (280 pages)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico K-theory
Modules (Algebra)
Forms (Mathematics)
Soggetto non controllato Abelian group
Addition
Algebraic K-theory
Algebraic topology
Approximation
Arithmetic
Canonical map
Coefficient
Cokernel
Computation
Coprime integers
Coset
Direct limit
Direct product
Division ring
Elementary matrix
Exact sequence
Finite group
Finite ring
Free module
Functor
General linear group
Global field
Group homomorphism
Group ring
Homology (mathematics)
Integer
Invertible matrix
Isomorphism class
K-theory
Linear map
Local field
Matrix group
Maxima and minima
Mayer–Vietoris sequence
Module (mathematics)
Monoid
Morphism
Natural transformation
Normal subgroup
P-group
Parameter
Power of two
Product category
Projective module
Quadratic form
Requirement
Ring of integers
Semisimple algebra
Sesquilinear form
Special case
Steinberg group (K-theory)
Steinberg group
Subcategory
Subgroup
Subspace topology
Surjective function
Theorem
Theory
Topological group
Topological ring
Topology
Torsion subgroup
Triviality (mathematics)
Unification (computer science)
Unitary group
Witt group
ISBN 1-4008-8141-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- §1. INTRODUCTION -- §2. HYPERBOLIC AND METABOLIC MODULES -- §3. AUTOMORPHISM GROUPS OF NONSINGULAR MODULES -- §4. K-THEORY GROUPS OF NONSINGULAR MODULES -- §5. HOMOLOGY EXACT SEQUENCES -- §6. K-THEORY IN CATEGORIES WITH PRODUCT -- §7. K-THEORY OF NONSINGULAR AND PROJECTIVE MODULES -- §8. COMPARISON EXACT SEQUENCES -- §9. SCALING AND MORITA THEORY -- §10. REDUCTION MODULO A COMPLETE IDEAL -- §11. CHANGE OF FORM PARAMETER -- §12. INDUCTION THEORY -- §13. ALTERNATE DEFINITIONS OF QUADRATIC MODULES -- §14. REMARKS ON NOTATION -- §15. WALL'S SURGERY GROUPS -- BIBLIOGRAPHY -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter
Record Nr. UNINA-9910154747603321
Bak Anthony  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth
Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth
Autore Neuwirth Lee Paul
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (120 pages) : illustrations
Disciplina 513.8
Collana Annals of Mathematics Studies
Soggetto topico Knot theory
Soggetto non controllato Abelian group
Alexander duality
Alexander polynomial
Algebraic theory
Algorithm
Analytic continuation
Associative property
Automorphism
Axiom
Bijection
Binary relation
Calculation
Central series
Characterization (mathematics)
Cobordism
Coefficient
Cohomology
Combinatorics
Commutator subgroup
Complete theory
Computation
Conjugacy class
Conjugate element (field theory)
Connected space
Connectedness
Coprime integers
Coset
Covering space
Curve
Cyclic group
Dehn's lemma
Determinant
Diagonalization
Diagram (category theory)
Dimension
Direct product
Equivalence class
Equivalence relation
Euclidean space
Euler characteristic
Existential quantification
Fiber bundle
Finite group
Finitely generated module
Frattini subgroup
Free abelian group
Fundamental group
Geometry
Group ring
Group theory
Group with operators
Hausdorff space
Homeomorphism
Homology (mathematics)
Homomorphism
Homotopy group
Homotopy
Identity matrix
Inner automorphism
Interior (topology)
Intersection number (graph theory)
Knot group
Knot theory
Linear combination
Manifold
Mathematical induction
Monomorphism
Morphism
Morse theory
Natural transformation
Non-abelian group
Normal subgroup
Orientability
Permutation
Polynomial
Presentation of a group
Principal ideal domain
Principal ideal
Root of unity
Semigroup
Simplicial complex
Simply connected space
Special case
Square matrix
Subgroup
Subset
Summation
Theorem
Three-dimensional space (mathematics)
Topological space
Topology
Torus knot
Transfinite number
Trefoil knot
Trichotomy (mathematics)
Trivial group
Triviality (mathematics)
Two-dimensional space
Unit vector
Wreath product
ISBN 1-4008-8203-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. NOTATION AND CONVENTIONS -- CHAPTER III. COMBINATORIAL COVERING SPACE THEORY FOR 3-MANIFOLDS -- CHAPTER IV. THE COMMUTATOR SUBGROUP AND THE ALEXANDER MATRIX -- CHAPTER V. SUBGROUPS -- CHAPTER VI. REPRESENTATIONS -- CHAPTER VII. AUTOMORPHISMS -- CHAPTER VIII. A GROUP OF GROUPS -- CHAPTER IX. THE CHARACTERIZATION PROBLEM -- CHAPTER X. THE STRENGTH OP THE GROUP -- CHAPTER XI. PROBLEMS -- APPENDIX BY S. Eileriberg -- REFERENCES -- INDEX
Record Nr. UNINA-9910154747703321
Neuwirth Lee Paul  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford
Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford
Autore Mumford David
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (221 pages)
Disciplina 516.5
Collana Annals of Mathematics Studies
Soggetto topico Curves, Algebraic
Surfaces, Algebraic
Soggetto non controllato Affine space
Algebraic geometry
Algebraic topology
Algebraically closed field
Binary operation
Chern class
Coherent sheaf
Cohomology
Complex vector bundle
Dense set
Differential form
Direct product
Family of curves
Formal power series
Functor
Generic point
Group ring
Homomorphism
Invertible sheaf
Local ring
Morphism of schemes
Morphism
Nonlinear system
Open set
Pairwise
Polynomial
Power series
Projective space
Rational function
Rational point
Sheaf (mathematics)
Subring
Summation
Symmetric function
Topology
Union (set theory)
Zariski topology
Zero divisor
ISBN 1-4008-8206-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- CONTENTS -- LECTURE 1. RAW MATERIAL ON CURVES ON SURFACES, AND THE PROBLEMS SUGGESTED -- LECTURE 2. THE FUNDAMENTAL EXISTENCE PROBLEM AND TWO ANALYTIC PROOFS -- LECTURE 3. PRE-SCHEMES AND THEIR ASSOCIATED "FUNCTOR OF POINTS" -- LECTURE 4. USES OF THE FUNCTOR OF POINTS -- APPENDIX TO LECTURE 4. RE REPRESENTABLE FUNCTORS AND ZARISKI TANGENT SPACES -- LECTURE 5. Pro j AND INVERTIBLE SHEAVES -- APPENDIX TO LECTURE 5 -- LECTURE 6. PROPERTIES OP MORPHISMS AND SHEAVES -- LECTURE 7. RESUME OF THE COHOMOLOGY OF COHERENT SHEAVES ON Pn -- LECTURE 8. FLATTENING STRATIFICATIONS -- LECTURE 9. CARTIER DIVISORS -- LECTURE 10. FUNCTORIAL PROPERTIES OF EFFECTIVE CARTIER DIVISORS -- LECTURE 11. BACK TO THE CLASSICAL CASE -- LECTURE 12. THE OVER-ALL CLASSIFICATION OF CURVES ON SURFACES -- LECTURE 13. LINEAR SYSTEMS AND EXAMPLES -- LECTURE 14. SOME VANISHING THEOREMS -- LECTURE 15. UNIVERSAL FAMILIES OF CURVES -- LECTURE 16. THE METHOD OF CHOW SCHEMES -- LECTURE 17. GOOD CURVES -- LECTURE 18. THE INDEX THEOREM -- LECTURE 19. THE PICARD SCHEME : OUTLINE -- LECTURE 20. INDEPENDENT 0-CYCLES ON A SURFACE -- LECTURE 21. THE PICARD SCHEME: CONCLUSION -- LECTURE 22. THE CHARACTERISTIC MAP OP A FAMILY OP CURVES -- LECTURE 23. THE FUNDAMENTAL THEOREM VIA KODAIRA-SPENCER -- LECTURE 24. THE STRUCTURE OF Φ -- LECTURE 25. THE FUNDAMENTAL THEOREM VIA GROTHENDIECK-CARTIER -- LECTURE 26. RING SCHEMES; THE WITT SCHEME -- APPENDICES TO LECTURE 26 APPENDICES TO LECTURE 26 -- LECTURE 27. THE FUNDAMENTAL THEOREM IN CHARACTERISTIC p -- WORKS REFERRED TO -- Backmatter
Record Nr. UNINA-9910154747503321
Mumford David  
Princeton, NJ : , : Princeton University Press, , [2016]
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On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / / Charles F. Miller
On Group-Theoretic Decision Problems and Their Classification. (AM-68), Volume 68 / / Charles F. Miller
Autore Miller Charles F.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (121 pages)
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Group theory
Logic, Symbolic and mathematical
Soggetto non controllato Abelian group
Betti number
Characteristic function (probability theory)
Characterization (mathematics)
Combinatorial group theory
Conjecture
Conjugacy class
Conjugacy problem
Contradiction
Corollary
Cyclic permutation
Decision problem
Diffeomorphism
Direct product
Direct proof
Effective method
Elementary class
Embedding
Enumeration
Epimorphism
Equation
Equivalence relation
Exact sequence
Existential quantification
Finite group
Finite set
Finitely generated group
Finitely presented
Free group
Free product
Fundamental group
Fundamental theorem
Group (mathematics)
Group theory
Gödel numbering
Homomorphism
Homotopy
Inner automorphism
Markov property
Mathematical logic
Mathematical proof
Mathematics
Monograph
Natural number
Nilpotent group
Normal subgroup
Notation
Permutation
Polycyclic group
Presentation of a group
Quotient group
Recursive set
Requirement
Residually finite group
Semigroup
Simple set
Simplicial complex
Solvable group
Statistical hypothesis testing
Subgroup
Theorem
Theory
Topology
Transitive relation
Triviality (mathematics)
Truth table
Turing degree
Turing machine
Without loss of generality
Word problem (mathematics)
ISBN 1-4008-8178-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. PROPERTIES OF BRITTON EXTENSIONS -- CHAPTER III. UNSOLVABILITY RESULTS FOR RESIDUALLY FINITE GROUPS -- CHAPTER IV. THE WORD AND CONJUGACY PROBLEMS FOR CERTAIN ELEMENTARY GROUPS -- CHAPTER V. ON THE ISOMORPHISM PROBLEM FOR GROUPS -- LIST OF REFERENCES -- INDEX OF SYMBOLS -- INDEX
Record Nr. UNINA-9910154751403321
Miller Charles F.  
Princeton, NJ : , : Princeton University Press, , [2016]
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Lo trovi qui: Univ. Federico II
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Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
Autore Borel Armand
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (261 pages) : illustrations
Disciplina 512.86
Collana Annals of Mathematics Studies
Soggetto topico Algebraic topology
Transformation groups
Soggetto non controllato Abelian group
Addition
Algebraic topology
Analytic function
Armand Borel
Big O notation
Bijection
Chain complex
Circle group
Codimension
Coefficient
Cohomology ring
Cohomology
Commutative diagram
Complex number
Conjugacy class
Connected component (graph theory)
Connected space
Continuous function
Corollary
Counterexample
Cup product
Cyclic group
Diffeomorphism
Differentiable function
Dimension (vector space)
Dimension function
Dimension
Direct product
Direct sum
Embedding
Equivariant map
Euclidean space
Exact sequence
Exponential function
Fiber bundle
Field of fractions
Finite group
Finitely generated module
Functor
Group action
H-space
Hausdorff space
Homeomorphism
Homogeneous space
Homological algebra
Homology (mathematics)
Homology sphere
Homomorphism
Ideal (ring theory)
Identity component
Inner automorphism
Invariant subspace
Lie algebra
Lie group
Linear combination
Linearity
Locally compact space
Manifold
Mathematical induction
Maximal torus
Metatheorem
Metric space
Module (mathematics)
Monotonic function
N-sphere
Neighbourhood (mathematics)
Open set
Orientability
P-group
Paracompact space
Partially ordered set
Polynomial
Presheaf (category theory)
Prime ideal
Projective space
Quotient space (topology)
Real variable
Riemannian manifold
Scientific notation
Sheaf (mathematics)
Simply connected space
Solvable group
Special case
Spectral sequence
Subgroup
Subset
Support (mathematics)
Sylow theorems
Tangent vector
Theorem
Topological group
Topological space
Torsion subgroup
Transpose
Unique factorization domain
Universal bundle
Universal coefficient theorem
Vector space
Weyl group
ISBN 1-4008-8267-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OP CONTENTS -- INTRODUCTION -- CHAPTER I: COHOMOLOGY MANIFOLDS / Borel, A. -- CHAPTER II: HOMOLOGY AND DUALITY IN GENERALIZED MANIFOLDS / Borel, A. -- CHAPTER III: PERIODIC MAPS VIA SMITH THEORY / Floyd, E. E. -- CHAPTER IV: THE ACTION OF Zp OR T1 : GLOBAL THEOREMS / Borel, A. -- CHAPTER V: THE ACTION OF Zp T1 : LOCAL THEOREMS / Borel, A. -- CHAPTER VI: ISOTROPY SUBGROUPS OP TORAL GROUPS / Floyd, E. E. -- CHAPTER VII: FINITENESS OP NUMBER OF ORBIT TYPES / Bredon, G. E. -- CHAPTER VIII: SLICES AND EQUIVARIANT IMBEDDINGS / Palais, R. S. -- CHAPTER IX: ORBITS OF HIGHEST DIMENSION / Montgomery, Deane -- CHAPTER X: THE SPECTRAL SEQUENCE OF A BIFILTERED MODULE, / Borel, A. -- CHAPTER XI: THE SPECTRAL SEQUENCE OF FARY / Borel, A. -- CHAPTER XII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS I / Borel, A. -- CHAPTER XIII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS II / Borel, A. -- CHAPTER XIV: ONE OR W O CLASSES OF ORBITS / Borel, A. -- CHAPTER XV: FIXED POINT SETS AND ORBITS OF COMPLEMENTARY DIMENSION / Bredon, G. E. -- CHAPTER XVI: REMARKS ON THE SPECTRAL SEQUENCE OF A MAP / Borel, A. -- Backmatter
Record Nr. UNINA-9910154746603321
Borel Armand  
Princeton, NJ : , : Princeton University Press, , [2016]
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Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow
Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow
Autore Mostow G. Daniel
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (205 pages)
Disciplina 516/.36
Collana Annals of Mathematics Studies
Soggetto topico Riemannian manifolds
Symmetric spaces
Lie groups
Rigidity (Geometry)
Soggetto non controllato Addition
Adjoint representation
Affine space
Approximation
Automorphism
Axiom
Big O notation
Boundary value problem
Cohomology
Compact Riemann surface
Compact space
Conjecture
Constant curvature
Corollary
Counterexample
Covering group
Covering space
Curvature
Diameter
Diffeomorphism
Differentiable function
Dimension
Direct product
Division algebra
Ergodicity
Erlangen program
Existence theorem
Exponential function
Finitely generated group
Fundamental domain
Fundamental group
Geometry
Half-space (geometry)
Hausdorff distance
Hermitian matrix
Homeomorphism
Homomorphism
Hyperplane
Identity matrix
Inner automorphism
Isometry group
Jordan algebra
Matrix multiplication
Metric space
Morphism
Möbius transformation
Normal subgroup
Normalizing constant
Partially ordered set
Permutation
Projective space
Riemann surface
Riemannian geometry
Sectional curvature
Self-adjoint
Set function
Smoothness
Stereographic projection
Subgroup
Subset
Summation
Symmetric space
Tangent space
Tangent vector
Theorem
Topology
Tubular neighborhood
Two-dimensional space
Unit sphere
Vector group
Weyl group
ISBN 1-4008-8183-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- §1. Introduction -- §2. Algebraic Preliminaries -- §3. The Geometry of χ : Preliminaries -- §4. A Metric Definition of the Maximal Boundary -- §5. Polar Parts -- §6. A Basic Inequality -- §7. Geometry of Neighboring Flats -- §8. Density Properties of Discrete Subgroups -- §8. Density Properties of Discrete Subgroups -- § 10. Pseudo Isometries of Simply Connected Spaces with Negative Curvature -- §11. Polar Regular Elements in Co-Compact Γ -- § 12. Pseudo-Isometric Invariance of Semi-Simple and Unipotent Elements -- §13. The Basic Approximation -- §14. The Map ∅̅ -- §15. The Boundary Map ∅0 -- §16. Tits Geometries -- §17. Rigidity for R-rank > 1 -- §18. The Restriction to Simple Groups -- §19. Spaces of R-rank 1 -- §20. The Boundary Semi-Metric -- §21. Quasi-Conformal Mappings Over K and Absolute Continuity on Almost All R-Circles -- §22. The Effect of Ergodicity -- §23. R-Rank 1 Rigidity Proof Concluded -- §24. Concluding Remarks -- Bibliography -- Backmatter
Record Nr. UNINA-9910154743303321
Mostow G. Daniel  
Princeton, NJ : , : Princeton University Press, , [2016]
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