Controlled Simple Homotopy Theory And Applications
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Controlled Simple Homotopy Theory And Applications
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Author : T. A. Chapman
language : en
Publisher:
Release Date : 2014-09-01
Controlled Simple Homotopy Theory And Applications written by T. A. Chapman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Controlled Simple Homotopy Theory And Applications
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Author : Thomas A. Chapman
language : en
Publisher: Springer
Release Date : 1983
Controlled Simple Homotopy Theory And Applications written by Thomas A. Chapman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Homotopy theory categories.
Controlled Simple Homotopy Theory And Applications
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Author : T. A. Chapman
language : en
Publisher: Springer
Release Date : 2006-11-14
Controlled Simple Homotopy Theory And Applications written by T. A. Chapman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Boundedly Controlled Topology
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Author : Douglas Ross Anderson
language : en
Publisher: Springer
Release Date : 1988
Boundedly Controlled Topology written by Douglas Ross Anderson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Categories (Mathematics). categories.
Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "control near infinity". This monograph introduces the category of spaces that are "boundedly controlled" over the (usually non-compact) metric space Z. It sets out to develop the algebraic and geometric tools needed to formulate and to prove boundedly controlled analogues of many of the standard results of algebraic topology and simple homotopy theory. One of the themes of the book is to show that in many cases the proof of a standard result can be easily adapted to prove the boundedly controlled analogue and to provide the details, often omitted in other treatments, of this adaptation. For this reason, the book does not require of the reader an extensive background. In the last chapter it is shown that special cases of the boundedly controlled Whitehead group are strongly related to lower K-theoretic groups, and the boundedly controlled theory is compared to Siebenmann's proper simple homotopy theory when Z = IR or IR2.
A Course In Simple Homotopy Theory
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Author : Marshall M. Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 1973
A Course In Simple Homotopy Theory written by Marshall M. Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Abstract Homotopy And Simple Homotopy Theory
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Author : K Heiner Kamps
language : en
Publisher: World Scientific
Release Date : 1997-04-11
Abstract Homotopy And Simple Homotopy Theory written by K Heiner Kamps and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-11 with Mathematics categories.
The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.g. spaces over a fixed base, groupoids, chain complexes, module categories). Studying categorical versions of homotopy structure, such as cylinders and path space constructions, enables not only a unified development of many examples of known homotopy theories but also reveals the inner working of the classical spatial theory. This demonstrates the logical interdependence of properties (in particular the existence of certain Kan fillers in associated cubical sets) and results (Puppe sequences, Vogt's Iemma, Dold's theorem on fibre homotopy equivalences, and homotopy coherence theory).
Control And Relaxation Over The Circle
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Author : Bruce Hughes
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Control And Relaxation Over The Circle written by Bruce Hughes 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 2000 with Mathematics categories.
This work formulates and proves a geometric version of the fundamental theorem of algebraic K-theory which relates the K-theory of the Laurent polynomial extension of a ring to the K-theory of the ring. The geometric version relates the higher simple homotopy theory of the product of a finite complex and a circle with that of the complex. By using methods of controlled topology, we also obtain a geometric version of the fundamental theorem of lower algebraic K-theory. The main new innovation is a geometrically defined nil space.
Geometry And Topology
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Author : Mccrory
language : en
Publisher: CRC Press
Release Date : 1986-10-22
Geometry And Topology written by Mccrory and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-10-22 with Mathematics categories.
This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other topics such as three-manifolds, group actions, and algebraic varieties.
Geometry And Topology
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Author : Mccrory
language : en
Publisher: CRC Press
Release Date : 2020-12-17
Geometry And Topology written by Mccrory and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.
This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other topics such as three-manifolds, group actions, and algebraic varieties.
Abstract Homotopy And Simple Homotopy Theory
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Author : K. H. Kamps
language : en
Publisher:
Release Date : 1986
Abstract Homotopy And Simple Homotopy Theory written by K. H. Kamps and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.