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Geometric Topology Localization Periodicity And Galois Symmetry


Geometric Topology Localization Periodicity And Galois Symmetry
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Geometric Topology Localization Periodicity And Galois Symmetry


Geometric Topology Localization Periodicity And Galois Symmetry
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Author : Dennis Parnell Sullivan
language : en
Publisher:
Release Date : 1971

Geometric Topology Localization Periodicity And Galois Symmetry written by Dennis Parnell Sullivan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Topology categories.




Geometric Topology Localization Periodicity And Galois Symmetry


Geometric Topology Localization Periodicity And Galois Symmetry
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Author : Dennis P. Sullivan
language : en
Publisher: Springer
Release Date : 2005-07-12

Geometric Topology Localization Periodicity And Galois Symmetry written by Dennis P. Sullivan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-12 with Mathematics categories.


The seminal ‘MIT notes’ of Dennis Sullivan were issued in June 1970 and were widely circulated at the time. The notes had a - jor in?uence on the development of both algebraic and geometric topology, pioneering the localization and completion of spaces in homotopy theory, including p-local, pro?nite and rational homotopy theory, le- ing to the solution of the Adams conjecture on the relationship between vector bundles and spherical ?brations, the formulation of the ‘Sullivan conjecture’ on the contractibility of the space of maps from the classifying space of a ?nite group to a ?nite dimensional CW complex, theactionoftheGalois groupoverQofthealgebraicclosureQof Q on smooth manifold structures in pro?nite homotopy theory, the K-theory orientation ofPL manifolds and bundles. Some of this material has been already published by Sullivan him- 1 self: in an article in the Proceedings of the 1970 Nice ICM, and in the 1974 Annals of Mathematics papers Genetics of homotopy theory and the Adams conjecture and The transversality character- 2 istic class and linking cycles in surgery theory . Many of the ideas originating in the notes have been the starting point of subsequent 1 reprinted at the end of this volume 2 joint with John Morgan vii viii 3 developments . However, the text itself retains a unique ?avour of its time, and of the range of Sullivan’s ideas.



Handbook Of Geometric Topology


Handbook Of Geometric Topology
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Author : R.B. Sher
language : en
Publisher: Elsevier
Release Date : 2001-12-20

Handbook Of Geometric Topology written by R.B. Sher and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-20 with Mathematics categories.


Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.



Algebraic And Geometrical Methods In Topology


Algebraic And Geometrical Methods In Topology
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Author : L.F. McAuley
language : en
Publisher: Springer
Release Date : 2006-11-15

Algebraic And Geometrical Methods In Topology written by L.F. McAuley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Algebraic And Geometric Topology Part 2


Algebraic And Geometric Topology Part 2
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Author : R. James Milgram
language : en
Publisher: American Mathematical Soc.
Release Date : 1978

Algebraic And Geometric Topology Part 2 written by R. James Milgram 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 1978 with Mathematics categories.


Contains sections on Structure of topological manifolds, Low dimensional manifolds, Geometry of differential manifolds and algebraic varieties, $H$-spaces, loop spaces and $CW$ complexes, Problems.



The Cech Centennial A Conference On Homotopy Theory


The Cech Centennial A Conference On Homotopy Theory
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Author : Mila Cenkl
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

The Cech Centennial A Conference On Homotopy Theory written by Mila Cenkl 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 1995 with Mathematics categories.


The June 1993 conference was organized to commemorate the 100th anniversary of the birth of Czech mathematician Edward Cech. The main topics of the conference were the most recent results in the stable and unstable homotopy theory. Among the topics in 22 refereed papers: on finiteness of subgroups of self-homotopy equivalences; the Chen groups of the pure braid group; Morava's change of rings theorem; the Boardman homomorphism; and a comparison criterion for certain loop spaces. No index. Annotation copyright by Book News, Inc., Portland, OR



Localization In Group Theory And Homotopy Theory And Related Topics


Localization In Group Theory And Homotopy Theory And Related Topics
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Author : P.J. Hilton
language : en
Publisher: Springer
Release Date : 2006-11-15

Localization In Group Theory And Homotopy Theory And Related Topics written by P.J. Hilton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Categorical Homotopy Theory


Categorical Homotopy Theory
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Author : Emily Riehl
language : en
Publisher: Cambridge University Press
Release Date : 2014-05-26

Categorical Homotopy Theory written by Emily Riehl 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 2014-05-26 with Mathematics categories.


This categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.



Homotopy Limits Completions And Localizations


Homotopy Limits Completions And Localizations
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Author : A. K. Bousfield
language : en
Publisher: Springer
Release Date : 2009-03-20

Homotopy Limits Completions And Localizations written by A. K. Bousfield and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-20 with Mathematics categories.


The main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finiteness condition, the R-completion coincides up to homotopy, with the p-profinite completion of Quillen and Sullivan; for R a subring of the rationals, the R-completion coincides up to homotopy, with the localizations of Quillen, Sullivan and others. In part II of these notes, the authors have assembled some results on towers of fibrations, cosimplicial spaces and homotopy limits which were needed in the discussions of part I, but which are of some interest in themselves.



Handbook Of Algebraic Topology


Handbook Of Algebraic Topology
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Author : I.M. James
language : en
Publisher: Elsevier
Release Date : 1995-07-18

Handbook Of Algebraic Topology written by I.M. James and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-18 with Mathematics categories.


Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.