Lectures On Hilbert Cube Manifolds Expository Lectures From The Cbms Regional Conference Board Of The Mathematical Sciences Regional Conference Series In Mathematics
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Lectures On Hilbert Cube Manifolds
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Author : Thomas A. Chapman
language : en
Publisher: American Mathematical Soc.
Release Date : 1976
Lectures On Hilbert Cube Manifolds written by Thomas A. Chapman 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 1976 with Mathematics categories.
The goal of these lectures is to present an introduction to the geometric topology of the Hilbert cube Q and separable metric manifolds modeled on Q, which are called here Hilbert cube manifolds or Q-manifolds. In the past ten years there has been a great deal of research on Q and Q-manifolds which is scattered throughout several papers in the literature. The author presents here a self-contained treatment of only a few of these results in the hope that it will stimulate further interest in this area. No new material is presented here and no attempt has been made to be complete. For example, the author has omitted the important theorem of Schori-West stating that the hyperspace of closed subsets of $[0,1]$ is homeomorphic to Q.In an appendix (prepared independently by R. D. Anderson, D. W. Curtis, R. Schori and G. Kozlowski) there is a list of problems which are of current interest. This includes problems on Q-manifolds as well as manifolds modeled on various linear spaces. The reader is referred to this for a much broader perspective of the field. In the first four chapters, the basic tools which are needed in all of the remaining chapters are presented. Beyond this there seem to be at least two possible courses of action. The reader who is interested only in the triangulation and classification of Q-manifolds should read straight through (avoiding only Chapter VI). In particular the topological invariance of Whitehead torsion appears in Section 38. The reader who is interested in R. D. Edwards' recent proof that every ANR is a Q-manifold factor should read the first four chapters and then (with the single exception of 26.1) skip over to Chapters XIII and XIV.
Lectures On Hilbert Cube Manifolds Expository Lectures From The Cbms Regional Conference Board Of The Mathematical Sciences Regional Conference Series In Mathematics
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Author :
language : en
Publisher:
Release Date :
Lectures On Hilbert Cube Manifolds Expository Lectures From The Cbms Regional Conference Board Of The Mathematical Sciences Regional Conference Series In 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 with categories.
National Union Catalog
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Author :
language : en
Publisher:
Release Date : 1973
National Union Catalog written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with American literature categories.
Includes entries for maps and atlases.
Subject Catalog 1977
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Author : Library of Congress
language : en
Publisher:
Release Date : 1977
Subject Catalog 1977 written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Library catalogs categories.
Catalogue Books And Journals In Advanced Mathematics
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1985
Catalogue Books And Journals In Advanced Mathematics written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Index Of Conference Proceedings Received 1974 1978
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Author : British Library. Lending Division
language : en
Publisher:
Release Date : 1980
Index Of Conference Proceedings Received 1974 1978 written by British Library. Lending Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Congresses and conventions categories.
Subject Catalog
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Author : Library of Congress
language : en
Publisher:
Release Date : 1977
Subject Catalog written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Index Of Conference Proceedings Received
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Author :
language : en
Publisher:
Release Date : 1979
Index Of Conference Proceedings Received written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Congresses and conventions categories.
The Publishers Trade List Annual
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Author :
language : en
Publisher:
Release Date : 1978
The Publishers Trade List Annual written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with American literature categories.
Lectures On Hilbert Cube Manifolds
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Author : Thomas A. Chapman
language : en
Publisher: American Mathematical Soc.
Release Date : 1976-12-31
Lectures On Hilbert Cube Manifolds written by Thomas A. Chapman 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 1976-12-31 with Mathematics categories.
The goal of these lectures is to present an introduction to the geometric topology of the Hilbert cube Q and separable metric manifolds modeled on Q, which are called here Hilbert cube manifolds or Q-manifolds. In the past ten years there has been a great deal of research on Q and Q-manifolds which is scattered throughout several papers in the literature. The author presents here a self-contained treatment of only a few of these results in the hope that it will stimulate further interest in this area. No new material is presented here and no attempt has been made to be complete. For example, the author has omitted the important theorem of Schori-West stating that the hyperspace of closed subsets of $[0,1]$ is homeomorphic to Q. In an appendix (prepared independently by R. D. Anderson, D. W. Curtis, R. Schori and G. Kozlowski) there is a list of problems which are of current interest. This includes problems on Q-manifolds as well as manifolds modeled on various linear spaces. The reader is referred to this for a much broader perspective of the field. In the first four chapters, the basic tools which are needed in all of the remaining chapters are presented. Beyond this there seem to be at least two possible courses of action. The reader who is interested only in the triangulation and classification of Q-manifolds should read straight through (avoiding only Chapter VI). In particular the topological invariance of Whitehead torsion appears in Section 38. The reader who is interested in R. D. Edwards' recent proof that every ANR is a Q-manifold factor should read the first four chapters and then (with the single exception of 26.1) skip over to Chapters XIII and XIV.