Topological Embeddings
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Topological Embeddings
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Author :
language : en
Publisher: Academic Press
Release Date : 1973-03-30
Topological Embeddings 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 1973-03-30 with Mathematics categories.
Topological Embeddings
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.
Library Of Congress Subject Headings
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Author : Library of Congress
language : en
Publisher:
Release Date : 2007
Library Of Congress Subject Headings 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 2007 with Subject headings, Library of Congress categories.
Library Of Congress Subject Headings
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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009
Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.
Library Of Congress Subject Headings F O
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Author : Library of Congress. Subject Cataloging Division
language : en
Publisher:
Release Date : 1988
Library Of Congress Subject Headings F O written by Library of Congress. Subject Cataloging Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Subject headings, Library of Congress categories.
Library Of Congress Subject Headings P Z
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Author : Library of Congress. Subject Cataloging Division
language : en
Publisher:
Release Date : 1989
Library Of Congress Subject Headings P Z written by Library of Congress. Subject Cataloging Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Subject headings categories.
P Z
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Author : Library of Congress. Office for Subject Cataloging Policy
language : en
Publisher:
Release Date : 1990
P Z written by Library of Congress. Office for Subject Cataloging Policy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Subject headings, Library of Congress categories.
Library Of Congress Subject Headings
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Author : Library of Congress. Office for Subject Cataloging Policy
language : en
Publisher:
Release Date : 1990
Library Of Congress Subject Headings written by Library of Congress. Office for Subject Cataloging Policy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Subject headings, Library of Congress categories.
Foliations Geometry And Topology
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Author : Nicolau Corção Saldanha
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Foliations Geometry And Topology written by Nicolau Corção Saldanha 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 with Mathematics categories.
Presents the proceedings of the conference on Foliations, Geometry, and Topology, held August 6-10, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers focus on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces.
Non Hausdorff Topology And Domain Theory
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Author : Jean Goubault-Larrecq
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-28
Non Hausdorff Topology And Domain Theory written by Jean Goubault-Larrecq and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-28 with Computers categories.
Introduces the basic concepts of topology with an emphasis on non-Hausdorff topology, which is crucial for theoretical computer science.