Topology of 3-Manifolds and... | Buy

This advanced graduate-level treatment contains summaries or full-length reports on five seminars from a 1961 conference. Topics include decompositions and subsets ofE3;n-manifolds; knot theory; the Poincare conjecture; and periodic maps and isotopies. Readers are required to have a basic background in algebraic topology. 2003 edition.

Decompositions and Subsets of E³	p. 1
Decomposition Spaces	p. 2
Acyclic Maps of Eⁿ onto Eⁿ are Compact	p. 5
Decompositions of E³	p. 5
Upper Semicontinuous Decompositions of E³ into E³ and Generalizations to Metric Spaces	p. 21
Tame Subsets of 2-Spheres in E³	p. 26
Some "Nice" Wild 2-Spheres in E³	p. 29
Tame, Wild, and Planar Sets in E³	p. 34
Penetration Indices and Applications	p. 37
Concentric Tori and Tame Curves in S³	p. 39
Homogeneity of Infinite Products of manifolds with Boundary	p. 42
Homemorphisms of 2-Dimensional Continua	p. 44
N-Space Modulo an Arc	p. 44
Closures of Images of the Reals	p. 45
n-Manifolds	p. 47
Differentiable and Polyhedral Manifolds	p. 48
On Alexander's Theorem and Knotted Spheres	p. 55
Polyhedral n-Manifolds: I. Foundations	p. 57
Polyhedral n-Manifolds: II. Embeddings	p. 64
Combinatorial Structures, Local Unknottedness, and Local Peripheral Unknottedness	p. 71
Locally Flat Embeddings of Topological Manifolds	p. 83
A Mapping Theorem for Untriangulated Manifolds	p. 92
On Fibering Certain 3-Manifolds	p. 95
Summary of Results on Contractible Open Manifolds	p. 100
Homotopy Manifolds	p. 102
Rotational Symmetry of 3-Manifolds	p. 104
Freeness in n-Space	p. 106
Ends	p. 110
Knot Theory	p. 119
A Quick Trip Through Knot Theory	p. 120
Some Problems in Knot Theory	p. 168
Knots and Periodic Transformations	p. 177
The Reducibility of Embedding Problems	p. 182
The Wilder Arcs	p. 184
Isotopies and Knots in Manifolds	p. 187
The Poincaré Conjecture	p. 195
Simply Connected 3-Manifolds	p. 196
Smale's Theory	p. 198
The Poincaré Conjecture for n ≥ 5	p. 198
On 2-Complexes in 4-Space	p. 204
Construction of Orientable 3-Manifolds	p. 207
Construction of Simply Connected 3-Manifolds	p. 213
On the Union of Two Solid Tori	p. 216
Periodic Maps and Isotopies	p. 219
Fixed-Point-Free Involutions on the 3-Sphere	p. 220
A Theorem on Infinite Regular Neighborhoods and an Application to Periodic Maps on Eⁿ	p. 221
On Quasi Translations in 3-Space	p. 223
Isotopy in Manifolds	p. 226
Questions on Isotopies in Manifolds	p. 229
On Homeomorphisms as Products of Conjugates of a Given Homeomorphism and its Inverse	p. 231
On a Class of Isotopy Invariants	p. 235
Applications	p. 239
The Topology of the Brain and Visual Perception	p. 240
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