C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas |
Autore | Douglas Ronald G. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (94 pages) : illustrations |
Disciplina | 512/.55 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
C*-algebras
K-theory Algebra, Homological |
Soggetto non controllato |
Addition
Affine transformation Algebraic topology Atiyah–Singer index theorem Automorphism Banach algebra Bijection Boundary value problem Bundle map C*-algebra Calculation Cardinal number Category of abelian groups Characteristic class Chern class Clifford algebra Coefficient Cohomology Compact operator Completely positive map Contact geometry Continuous function Corollary Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Dimension function Dimension Direct integral Direct proof Eigenvalues and eigenvectors Equivalence class Equivalence relation Essential spectrum Euler class Exact sequence Existential quantification Fiber bundle Finite group Fredholm operator Fredholm Free abelian group Fundamental class Fundamental group Hardy space Hermann Weyl Hilbert space Homological algebra Homology (mathematics) Homomorphism Homotopy Ideal (ring theory) Inner automorphism Irreducible representation K-group K-theory Lebesgue space Locally compact group Maximal compact subgroup Michael Atiyah Monomorphism Morphism Natural number Natural transformation Normal operator Operator algebra Operator norm Operator theory Orthogonal group Pairing Piecewise linear manifold Polynomial Pontryagin class Positive and negative parts Positive map Pseudo-differential operator Quaternion Quotient algebra Self-adjoint operator Self-adjoint Simply connected space Smooth structure Special case Stein manifold Strong topology Subalgebra Subgroup Subset Summation Tangent bundle Theorem Todd class Topology Torsion subgroup Unitary operator Universal coefficient theorem Variable (mathematics) Von Neumann algebra |
ISBN | 1-4008-8146-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. An Overview -- Chapter 2. Ext as a Group -- Chapter 3. Ext as a Homotopy Functor -- Chapter 4. Generalized Homology Theory and Periodicity -- Chapter 5. Ext as K-Homology -- Chapter 6. Index Theorems snd Novikov's Higher Signatures -- References -- Index -- Index of Symbols -- Backmatter |
Record Nr. | UNINA-9910154752903321 |
Douglas Ronald G. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Convergence and Uniformity in Topology. (AM-2), Volume 2 / / John W. Tukey |
Autore | Tukey John W. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (108 pages) |
Disciplina |
510.82
513.83 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Topology |
Soggetto non controllato |
Absolute value
Abstract algebra Algebraic topology Axiom of choice Binary relation Cardinal number Characteristic function (probability theory) Closed set Closure operator Combinatorial topology Compact space Complete lattice Complete metric space Continuous function (set theory) Continuous function Countable set Counterexample Dimension theory (algebra) Dimension theory Discrete space Domain of a function Empty set Enumeration Equivalence class Equivalence relation Existential quantification Family of sets Finite set General topology Geometry Hahn–Banach theorem Hausdorff space Homeomorphism Infimum and supremum Integer Interval (mathematics) Lebesgue constant (interpolation) Limit point Linear space (geometry) Mathematician Mathematics Maximal element Metric space Monotonic function Mutual exclusivity Natural number Negation Normal space Open set Ordinal number Real number Regular space Requirement Scientific notation Separation axiom Set (mathematics) Set theory Special case Subsequence Subset Suggestion Summation Superspace Theorem Theory Topological algebra Topology Total order Transfinite induction Transfinite number Transfinite Transitive relation Tychonoff space Ultrafilter Uncountable set Uniform continuity Union (set theory) Upper and lower bounds Zorn's lemma |
ISBN | 1-4008-8219-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Introduction -- Contents -- General Usage of The Alphabets -- Special Usage of The Alphabets -- Usage of General Symbols -- Chapter I. Ordering -- Chapter II. Direction -- Chapter III. Convergence -- Chapter IV. Compactness -- Chapter V. Normality -- Chapter VI. Structs -- Chapter VII. Function - Spaces -- Chapter VIII. Examples -- Chapter IX. Discussion -- Bibliography -- Index |
Record Nr. | UNINA-9910154748703321 |
Tukey John W. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
Lo trovi qui: Univ. Federico II | ||
|
Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 / / Shreeram Shankar Abhyankar |
Autore | Abhyankar Shreeram Shankar |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (117 pages) |
Disciplina | 512.815 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Algebraic fields
Geometry, Algebraic |
Soggetto non controllato |
Abelian group
Abstract algebra Additive group Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic function field Algebraic function Algebraic geometry Algebraic number theory Algebraic surface Algebraic variety Big O notation Birational geometry Branch point Cardinal number Cardinality Complex number Degrees of freedom (statistics) Dimension Equation Equivalence class Existential quantification Field extension Field of fractions Foundations of Algebraic Geometry Function field Galois group Generic point Ground field Homomorphism Ideal theory Integer Irrational number Irreducible component Linear algebra Local ring Mathematics Max Noether Maximal element Maximal ideal Natural number Nilpotent Noetherian ring Null set Order by Order type Parameter Primary ideal Prime ideal Prime number Projective variety Quantity Quotient ring Ramification group Rational function Rational number Real number Resolution of singularities Riemann surface Ring (mathematics) Special case Splitting field Subgroup Subset Theorem Theory of equations Transcendence degree Two-dimensional space Uniformization Valuation ring Variable (mathematics) Vector space Zero divisor Zorn's lemma |
ISBN | 1-4008-8139-0 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- CHAPTER I: GENERAL RAMIFICATION THEORY -- CHAPTER II: VALUATION THEORY -- CHAPTER III: NOETHERIAN LOCAL RINGS -- CHAPTER IV: TWO-DIMENSIONAL LOCAL DOMAINS -- CHAPTER V: VARIETIES AND TRANSFORMATIONS -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154754403321 |
Abhyankar Shreeram Shankar | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Triangulated categories / / by Amnon Neeman |
Autore | Neeman Amnon |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2001 |
Descrizione fisica | 1 online resource (461 p.) |
Disciplina | 512/.55 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Categories (Mathematics) |
Soggetto non controllato |
Abelian category
Abelian group Additive category Adjoint functors Adjoint Adjunction (field theory) Associative property Axiom Basis (linear algebra) Bijection Biproduct Brown's representability theorem Cardinal number Cardinality Category of abelian groups Chain complex Class (set theory) Cohomology Computation Coproduct Corollary Countable set Counterexample Derived category Derived functor Diagram (category theory) Direct limit Direct sum Discrete valuation ring Duality (mathematics) Embedding Equivalence class Equivalence of categories Exact functor Exact sequence Existence theorem Existential quantification Factorization Finitely generated abelian group Functor category Functor Grothendieck category Grothendieck's Tôhoku paper Group homomorphism Homological algebra Homotopy category of chain complexes Homotopy category Homotopy colimit Homotopy I0 Injective function Injective object Integer Isomorph Isomorphism class Jack Morava K-theory Limit (category theory) Limit of a sequence Limit ordinal Linear map Mapping cone (homological algebra) Mathematical induction Maximal ideal Module (mathematics) Monomorphism Moore space Morphism N0 Natural transformation Open set Partially ordered set Pierre Deligne Prime number Projective object Proportionality (mathematics) Quotient category Regular cardinal Representable functor Sheaf (mathematics) Special case Spectral sequence Subcategory Subobject Subsequence Subset Successor ordinal Summation Tautology (logic) Tensor product Theorem Theory Topological group Transfinite induction Transfinite Triangulated category Universal property Vector space Vladimir Voevodsky Yoneda lemma |
ISBN |
0-691-08685-0
1-4008-3721-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index |
Record Nr. | UNINA-9910791958903321 |
Neeman Amnon | ||
Princeton, New Jersey : , : Princeton University Press, , 2001 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Triangulated categories / / by Amnon Neeman |
Autore | Neeman Amnon |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2001 |
Descrizione fisica | 1 online resource (461 p.) |
Disciplina | 512/.55 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Categories (Mathematics) |
Soggetto non controllato |
Abelian category
Abelian group Additive category Adjoint functors Adjoint Adjunction (field theory) Associative property Axiom Basis (linear algebra) Bijection Biproduct Brown's representability theorem Cardinal number Cardinality Category of abelian groups Chain complex Class (set theory) Cohomology Computation Coproduct Corollary Countable set Counterexample Derived category Derived functor Diagram (category theory) Direct limit Direct sum Discrete valuation ring Duality (mathematics) Embedding Equivalence class Equivalence of categories Exact functor Exact sequence Existence theorem Existential quantification Factorization Finitely generated abelian group Functor category Functor Grothendieck category Grothendieck's Tôhoku paper Group homomorphism Homological algebra Homotopy category of chain complexes Homotopy category Homotopy colimit Homotopy I0 Injective function Injective object Integer Isomorph Isomorphism class Jack Morava K-theory Limit (category theory) Limit of a sequence Limit ordinal Linear map Mapping cone (homological algebra) Mathematical induction Maximal ideal Module (mathematics) Monomorphism Moore space Morphism N0 Natural transformation Open set Partially ordered set Pierre Deligne Prime number Projective object Proportionality (mathematics) Quotient category Regular cardinal Representable functor Sheaf (mathematics) Special case Spectral sequence Subcategory Subobject Subsequence Subset Successor ordinal Summation Tautology (logic) Tensor product Theorem Theory Topological group Transfinite induction Transfinite Triangulated category Universal property Vector space Vladimir Voevodsky Yoneda lemma |
ISBN |
0-691-08685-0
1-4008-3721-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index |
Record Nr. | UNINA-9910821730503321 |
Neeman Amnon | ||
Princeton, New Jersey : , : Princeton University Press, , 2001 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5 / / Emil L. Post |
Autore | Post Emil L. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (133 pages) : illustrations |
Disciplina | 164 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Logic, Symbolic and mathematical |
Soggetto non controllato |
0Q
1J Abstract structure Addition Antiderivative Argument of a function Axiom Big O notation Bijection Boolean algebra (structure) Calculation Cardinal number Classical mathematics Conjecture Contradiction Countable set Diagram (category theory) Dimension Direct proof Duality (mathematics) Duality (optimization) Existential quantification Finite group Finite set Floor and ceiling functions Function (mathematics) Inequality (mathematics) Inverse problem Iteration Join and meet K-function Lattice (order) Linear differential equation Logic Logical conjunction Logical disjunction Mathematical induction Mathematical logic Membership function (mathematics) Morphism Mutual exclusivity Negation Notation Null set Oswald Veblen Parameter Parity (mathematics) Polynomial Principia Mathematica Projective geometry Propositional calculus Propositional variable Requirement Scientific notation Sequence Statistical hypothesis testing Subgroup Subset Suggestion Summation System T. The Principles of Mathematics Theorem Transfinite number Transfinite Truth table Uncountable set Uniqueness Variable (mathematics) Venn diagram |
ISBN | 1-4008-8236-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- Part I. PRELIMINARIES -- PART II. DERIVATION OP CLOSED SYSTEMS -- PART III. CO-ORDINATION AND APPLICATION -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154742203321 |
Post Emil L. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|