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Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres
Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres
Autore Munkres James R.
Edizione [Revised edition.]
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (132 pages) : illustrations
Disciplina 513.83
Collana Annals of Mathematics Studies
Soggetto topico Differential topology
Soggetto non controllato Addition
Affine transformation
Algebraic topology
Analytic manifold
Approximation
Barycentric coordinate system
Barycentric subdivision
Basis (linear algebra)
Brouwer fixed-point theorem
CR manifold
Centroid
Chain rule
Closed set
Combinatorics
Compact space
Conjecture
Continuous function
Convex set
Coordinate system
Corollary
Degeneracy (mathematics)
Diameter
Diffeomorphism
Differentiable function
Differentiable manifold
Differential topology
Dimension (vector space)
Dimension theory (algebra)
Dimension theory
Disjoint sets
Elementary proof
Empty set
Equation
Euclidean space
Existential quantification
Function composition
Fundamental theorem
General topology
Geometry
Grassmannian
Homeomorphism
Homotopy
Hyperplane
Identity matrix
Inclusion map
Integer
Intersection (set theory)
Invariance of domain
Jacobian matrix and determinant
Line segment
Linear algebra
Linear equation
Linear map
Locally compact space
Manifold
Mathematical induction
Matrix multiplication
Metrization theorem
Natural number
Number theory
Open set
Partial derivative
Partition of unity
Polyhedron
Polytope
Regular homotopy
Remainder
Scientific notation
Secant
Similarity (geometry)
Simplex
Simplicial complex
Smoothness
Special case
Submanifold
Subset
Tangent bundle
Tangent vector
Theorem
Thickness (graph theory)
Topological manifold
Topology
Trigonometric functions
Unit cube
Word problem (mathematics)
ISBN 1-4008-8265-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- Chapter I. Differentiable Manifolds -- Chapter II. Triangulations of Differentiable Manifolds -- References -- Index of terms -- Backmatter
Record Nr. UNINA-9910154744903321
Munkres James R.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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