Foundational Essays on Topological Manifolds, Smoothings, and Triangulations
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A01=Laurence C. Siebenmann
A01=Robion C. Kirby
Affine space
Algebraic topology (object)
Associative property
Author_Laurence C. Siebenmann
Author_Robion C. Kirby
Automorphism
Category of sets
Category=PBPH
Classification theorem
Classifying space
Codimension
Cohomology
Continuous function
Continuous function (set theory)
CW complex
Diffeomorphism
Differentiable manifold
Differential topology
Dimension (vector space)
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclidean space
Existence theorem
Fiber bundle
Fibration
General position
Geometry
Group homomorphism
H-cobordism
H-space
Handle decomposition
Handlebody
Hauptvermutung
Hilbert cube
Homeomorphism
Homeomorphism group
Homomorphism
Homotopy
Homotopy group
Inclusion map
Invertible matrix
K-cell (mathematics)
Linear topology
Manifold
Mapping cylinder
Mathematical induction
Metric space
Morse theory
Neighbourhood (mathematics)
Open set
Piecewise linear manifold
Poincare conjecture
Polyhedron
Principal bundle
Product metric
Pushout (category theory)
Regular homotopy
Sheaf (mathematics)
Simplicial complex
Stability theory
Submanifold
Submersion (mathematics)
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
Product details
- ISBN 9780691081915
- Weight: 539g
- Dimensions: 152 x 229mm
- Publication Date: 21 May 1977
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Since Poincare's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery.
