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Stabilization Of Homotopy Limits


Stabilization Of Homotopy Limits
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Stabilization Of Homotopy Limits


Stabilization Of Homotopy Limits
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Author : Eric Lee Finster
language : en
Publisher:
Release Date : 2010

Stabilization Of Homotopy Limits written by Eric Lee Finster and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.




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.



Homotopy Limits Completions And Localizations


Homotopy Limits Completions And Localizations
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Author : Aldridge Knight Bousfield
language : en
Publisher: Springer Verlag
Release Date : 1972

Homotopy Limits Completions And Localizations written by Aldridge Knight Bousfield and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebra, Homological. categories.




Homotopy Limits Completions


Homotopy Limits Completions
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Author : A. K. Bousfield
language : en
Publisher:
Release Date : 1972

Homotopy Limits Completions written by A. K. Bousfield and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.




Homotopy Limits Completions And Localizations


Homotopy Limits Completions And Localizations
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Author : A. K. Bousfield
language : en
Publisher:
Release Date : 2014-01-15

Homotopy Limits Completions And Localizations written by A. K. Bousfield and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Equivariant Stable Homotopy Theory And The Kervaire Invariant Problem


Equivariant Stable Homotopy Theory And The Kervaire Invariant Problem
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Author : Michael A. Hill
language : en
Publisher: Cambridge University Press
Release Date : 2021-07-29

Equivariant Stable Homotopy Theory And The Kervaire Invariant Problem written by Michael A. Hill 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 2021-07-29 with Mathematics categories.


A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.



Handbook Of Homotopy Theory


Handbook Of Homotopy Theory
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Author : Haynes Miller
language : en
Publisher: CRC Press
Release Date : 2020-01-23

Handbook Of Homotopy Theory written by Haynes Miller and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.


The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.



Topological Obstructions To Stability And Stabilization


Topological Obstructions To Stability And Stabilization
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Author : Wouter Jongeneel
language : en
Publisher: Springer Nature
Release Date : 2023-05-16

Topological Obstructions To Stability And Stabilization written by Wouter Jongeneel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-16 with Technology & Engineering categories.


This open access book provides a unified overview of topological obstructions to the stability and stabilization of dynamical systems defined on manifolds and an overview that is self-contained and accessible to the control-oriented graduate student. The authors review the interplay between the topology of an attractor, its domain of attraction, and the underlying manifold that is supposed to contain these sets. They present some proofs of known results in order to highlight assumptions and to develop extensions, and they provide new results showcasing the most effective methods to cope with these obstructions to stability and stabilization. Moreover, the book shows how Borsuk’s retraction theory and the index-theoretic methodology of Krasnosel’skii and Zabreiko underlie a large fraction of currently known results. This point of view reveals important open problems, and for that reason, this book is of interest to any researcher in control, dynamical systems, topology, or related fields.



New Spaces In Mathematics


New Spaces In Mathematics
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Author : Mathieu Anel
language : en
Publisher: Cambridge University Press
Release Date : 2021-04

New Spaces In Mathematics written by Mathieu Anel 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 2021-04 with Mathematics categories.


In this graduate-level book, leading researchers explore various new notions of 'space' in mathematics.



Algebraic Topology And Algebraic K Theory Am 113 Volume 113


Algebraic Topology And Algebraic K Theory Am 113 Volume 113
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Author : William Browder
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Algebraic Topology And Algebraic K Theory Am 113 Volume 113 written by William Browder 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.


This book contains accounts of talks held at a symposium in honor of John C. Moore in October 1983 at Princeton University, The work includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic K-theory of spaces, and other subjects.