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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
Autore Kirby Robion C.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (373 pages) : illustrations
Disciplina 514/.7
Collana Annals of Mathematics Studies
Soggetto topico Manifolds (Mathematics)
Piecewise linear topology
Triangulating manifolds
Soggetto non controllato Affine space
Algebraic topology (object)
Approximation
Associative property
Automorphism
Big O notation
CW complex
Calculation
Cap product
Cartesian product
Category of sets
Chain complex
Classification theorem
Classifying space
Cobordism
Codimension
Cofibration
Cohomology
Connected space
Continuous function (set theory)
Continuous function
Counterexample
Diffeomorphism
Differentiable manifold
Differential structure
Differential topology
Dimension (vector space)
Direct proof
Disjoint union
Elementary proof
Embedding
Euclidean space
Existence theorem
Existential quantification
Fiber bundle
Fibration
General position
Geometry
Group homomorphism
H-cobordism
H-space
Handle decomposition
Handlebody
Hauptvermutung
Hausdorff space
Hilbert cube
Homeomorphism group
Homeomorphism
Homomorphism
Homotopy group
Homotopy
Inclusion map
Injective function
Invertible matrix
K-cell (mathematics)
Kan extension
Linear subspace
Linear topology
Manifold
Mapping cylinder
Mathematical induction
Mathematician
Metric space
Morse theory
Neighbourhood (mathematics)
Open set
Partition of unity
Piecewise linear manifold
Piecewise linear
Poincaré conjecture
Polyhedron
Principal bundle
Product metric
Pushout (category theory)
Regular homotopy
Retract
Sheaf (mathematics)
Simplicial complex
Smoothing
Spin structure
Stability theory
Stable manifold
Standard map
Submanifold
Submersion (mathematics)
Subset
Surgery exact sequence
Surjective function
Theorem
Topological group
Topological manifold
Topological space
Topology
Transversal (geometry)
Transversality (mathematics)
Transversality theorem
Union (set theory)
Uniqueness theorem
Vector bundle
Zorn's lemma
ISBN 1-4008-8150-1
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Foreword -- Table of contents -- Guide -- Essay I. Deformation of smooth and piecewise linear manifold structures / Kirby, R. / Siebenmann, L. -- Essay II. Deformation of sliced families of manifold structures / Siebenmann, L. -- Essay III. Some basic theorems about topological manifolds / Siebenmann, L. / Kirby, R. -- Essay IV. Stable classification of smooth and piecewise linear manifold structures / Siebenmann, L. -- Essay V. Classification of sliced families of manifold structures / Siebenmann, L. -- Annex A. Stable homeomorphisms and the annulus conjecture / Kirby, Robion C. -- Annex B. On The Triangulation of Manifolds and the Hauptvermutung / Kirby, R. C. / Siebenmann, L. C. -- Annex C. Topological Manifolds / Siebenmann, L. C. -- Note on Involutions / Atiyah, M. F. -- Combined Bibliography -- Index -- Backmatter
Record Nr. UNINA-9910154753803321
Kirby Robion C.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera
Autore Kumpera Antonio
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (312 pages)
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico Lie groups
Lie algebras
Differential equations
Soggetto non controllato Adjoint representation
Adjoint
Affine transformation
Alexander Grothendieck
Analytic function
Associative algebra
Atlas (topology)
Automorphism
Bernhard Riemann
Big O notation
Bundle map
Category of topological spaces
Cauchy–Riemann equations
Coefficient
Commutative diagram
Commutator
Complex conjugate
Complex group
Complex manifold
Computation
Conformal map
Continuous function
Coordinate system
Corollary
Cotangent bundle
Curvature tensor
Deformation theory
Derivative
Diagonal
Diffeomorphism
Differentiable function
Differential form
Differential operator
Differential structure
Direct proof
Direct sum
Ellipse
Endomorphism
Equation
Exact sequence
Exactness
Existential quantification
Exponential function
Exponential map (Riemannian geometry)
Exterior derivative
Fiber bundle
Fibration
Frame bundle
Frobenius theorem (differential topology)
Frobenius theorem (real division algebras)
Group isomorphism
Groupoid
Holomorphic function
Homeomorphism
Integer
J-invariant
Jacobian matrix and determinant
Jet bundle
Linear combination
Linear map
Manifold
Maximal ideal
Model category
Morphism
Nonlinear system
Open set
Parameter
Partial derivative
Partial differential equation
Pointwise
Presheaf (category theory)
Pseudo-differential operator
Pseudogroup
Quantity
Regular map (graph theory)
Requirement
Riemann surface
Right inverse
Scalar multiplication
Sheaf (mathematics)
Special case
Structure tensor
Subalgebra
Subcategory
Subgroup
Submanifold
Subset
Tangent bundle
Tangent space
Tangent vector
Tensor field
Tensor product
Theorem
Torsion tensor
Transpose
Variable (mathematics)
Vector bundle
Vector field
Vector space
Volume element
ISBN 1-4008-8173-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Foreword -- Glossary of Symbols -- Table of Contents -- Introduction -- A. Integrability of Lie Structures -- B. Deformation Theory of Lie Structures -- Chapter I. Jet Sheaves and Differential Equations -- Chapter II. Linear Lie Equations -- Chapter III. Derivations and Brackets -- Chapter IV. Non-Linear Complexes -- Chapter V. Derivations of Jet Forms -- Appendix. Lie Groupoids -- References -- Index
Record Nr. UNINA-9910154751903321
Kumpera Antonio  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 / / Morris W. Hirsch, Barry Mazur
Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 / / Morris W. Hirsch, Barry Mazur
Autore Hirsch Morris W.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (149 pages)
Disciplina 514/.224
Collana Annals of Mathematics Studies
Soggetto topico Piecewise linear topology
Manifolds (Mathematics)
Soggetto non controllato Affine transformation
Approximation
Associative property
Bijection
Bundle map
Classification theorem
Codimension
Coefficient
Cohomology
Commutative property
Computation
Convex cone
Convolution
Corollary
Counterexample
Diffeomorphism
Differentiable function
Differentiable manifold
Differential structure
Dimension
Direct proof
Division by zero
Embedding
Empty set
Equivalence class
Equivalence relation
Euclidean space
Existential quantification
Exponential map (Lie theory)
Fiber bundle
Fibration
Functor
Grassmannian
H-space
Homeomorphism
Homotopy
Integral curve
Inverse problem
Isomorphism class
K0
Linearization
Manifold
Mathematical induction
Milnor conjecture
Natural transformation
Neighbourhood (mathematics)
Normal bundle
Obstruction theory
Open set
Partition of unity
Piecewise linear
Polyhedron
Reflexive relation
Regular map (graph theory)
Sheaf (mathematics)
Smoothing
Smoothness
Special case
Submanifold
Tangent bundle
Tangent vector
Theorem
Topological manifold
Topological space
Topology
Transition function
Transitive relation
Vector bundle
Vector field
ISBN 1-4008-8168-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- REFERENCES -- CONTENTS -- SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS I: PRODUCTS / Hirsch, Morris W. -- SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS II: CLASSIFICATION / Hirsch, Morris W. / Mazur, Barry -- BIBLIOGRAPHY -- Backmatter
Record Nr. UNINA-9910154743503321
Hirsch Morris W.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui