Cellular Decompositions Of 3 Manifolds That Yield 3 Manifolds
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Cellular Decompositions Of 3 Manifolds That Yield 3 Manifolds
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Author : Steve Armentrout
language : en
Publisher: American Mathematical Soc.
Release Date : 1971
Cellular Decompositions Of 3 Manifolds That Yield 3 Manifolds written by Steve Armentrout and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Decomposition (Mathematics) categories.
Canadian Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1992-04
Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-04 with categories.
Decompositions Of Manifolds
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Author :
language : en
Publisher: Academic Press
Release Date : 1986-12-22
Decompositions Of Manifolds written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-22 with Mathematics categories.
Decompositions of Manifolds
Topics In Low Dimensional Topology
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Author : A Banyaga
language : en
Publisher: World Scientific
Release Date : 1999-10-15
Topics In Low Dimensional Topology written by A Banyaga and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-15 with categories.
Recent success with the four-dimensional Poincaré conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincaré conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight. The main topics treated in this book include a paper by V Poenaru on the Poincaré conjecture and its ramifications, giving an insight into the herculean work of the author on the subject. Steve Armentrout's paper on “Bing's dogbone space” belongs to the topics in three-dimensional topology motivated by the Poincaré conjecture. S Singh gives a nice synthesis of Armentrout's work. Also included in the volume are shorter original papers, dealing with somewhat different aspects of geometry, and dedicated to Armentrout by his colleagues — Augustin Banyaga (and Jean-Pierre Ezin), David Hurtubise, Hossein Movahedi-Lankarani and Robert Wells. Contents: Mathematics of Steve Armentrout: A Review (S Singh)Bing's Dogbone Space Is Not Strongly Locally Simply Connected (S Armentrout)A Program for the Poincaré Conjecture and Some of Its Ramifications (V Poénaru)On the Foundation of Geometry, Analysis, and the Differentiable Structure for Manifolds (D Sullivan)A Conformal Invariant Characterizing the Sphere (A Banyaga & J-P Ezin)Spaces of Holomorphic Maps from ∀P1 to Complex Grassmann Manifolds (D E Hurtubise)Sets with Lie Isometry Groups (H Movahedi-Lankarani & R Wells) Readership: Researchers in mathematics and physics. Keywords:Poincare Conjecture;Topology;Holomorphic Maps;Complex Grassmann Manifolds;Lie Isometry Groups
Embeddings In Manifolds
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Author : Robert J. Daverman
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-10-14
Embeddings In Manifolds written by Robert J. Daverman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-14 with Mathematics categories.
A topological embedding is a homeomorphism of one space onto a subspace of another. The book analyzes how and when objects like polyhedra or manifolds embed in a given higher-dimensional manifold. The main problem is to determine when two topological embeddings of the same object are equivalent in the sense of differing only by a homeomorphism of the ambient manifold. Knot theory is the special case of spheres smoothly embedded in spheres; in this book, much more general spaces and much more general embeddings are considered. A key aspect of the main problem is taming: when is a topological embedding of a polyhedron equivalent to a piecewise linear embedding? A central theme of the book is the fundamental role played by local homotopy properties of the complement in answering this taming question. The book begins with a fresh description of the various classic examples of wild embeddings (i.e., embeddings inequivalent to piecewise linear embeddings). Engulfing, the fundamental tool of the subject, is developed next. After that, the study of embeddings is organized by codimension (the difference between the ambient dimension and the dimension of the embedded space). In all codimensions greater than two, topological embeddings of compacta are approximated by nicer embeddings, nice embeddings of polyhedra are tamed, topological embeddings of polyhedra are approximated by piecewise linear embeddings, and piecewise linear embeddings are locally unknotted. Complete details of the codimension-three proofs, including the requisite piecewise linear tools, are provided. The treatment of codimension-two embeddings includes a self-contained, elementary exposition of the algebraic invariants needed to construct counterexamples to the approximation and existence of embeddings. The treatment of codimension-one embeddings includes the locally flat approximation theorem for manifolds as well as the characterization of local flatness in terms of local homotopy properties.
Four Manifold Theory
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Author : Cameron Gordon
language : en
Publisher: American Mathematical Soc.
Release Date : 1984
Four Manifold Theory written by Cameron Gordon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Covers the proceedings of the Summer Research Conference on 4-manifolds held at Durham, New Hampshire, July 1982, under the auspices of the American Mathematical Society and National Science Foundation.
Canadian Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1972-10
Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-10 with categories.
Monotone Mappings Of Compact 3 Manifolds
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Author : Alden Halbert Wright
language : en
Publisher:
Release Date : 1969
Monotone Mappings Of Compact 3 Manifolds written by Alden Halbert Wright and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Algebraic topology categories.
Topology Seminar Wisconsin 1965 Am 60 Volume 60
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Author : R. H. Bing
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Topology Seminar Wisconsin 1965 Am 60 Volume 60 written by R. H. Bing and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.
Bulletin Of The American Mathematical Society
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Author :
language : en
Publisher:
Release Date : 1977
Bulletin Of The American Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.