Homotopy Invariant Algebraic Structures On Topological Spaces By J M Boardman And R M Vogt

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Homotopy Invariant Algebraic Structures On Topological Spaces

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Author : J. M. Boardman
language : en
Publisher: Springer
Release Date : 2006-11-15

Homotopy Invariant Algebraic Structures On Topological Spaces written by J. M. Boardman 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.

Homotopy Invariant Algebraic Structures On Topological Spaces By J M Boardman And R M Vogt

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Author : John M. Boardman
language : en
Publisher:
Release Date :

Homotopy Invariant Algebraic Structures On Topological Spaces By J M Boardman And R M Vogt written by John M. Boardman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Homotopy theory categories.

Homotopy Invariant Algebraic Structures On Topological Spaces

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Author : J. M. Boardman
language : en
Publisher:
Release Date : 2014-01-15

Homotopy Invariant Algebraic Structures On Topological Spaces written by J. M. Boardman 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.

Homotopy Invariant Algebraic Structures

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Author : Jean-Pierre Meyer
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Homotopy Invariant Algebraic Structures written by Jean-Pierre Meyer 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 1999 with Mathematics categories.

This volume presents the proceedings of the conference held in honor of J. Michael Boardman's 60th birthday. It brings into print his classic work on conditionally convergent spectral sequences. Over the past 30 years, it has become evident that some of the deepest questions in algebra are best understood against the background of homotopy theory. Boardman and Vogt's theory of homotopy-theoretic algebraic structures and the theory of spectra, for example, were two benchmark breakthroughs underlying the development of algebraic $K$-theory and the recent advances in the theory of motives. The volume begins with short notes by Mac Lane, May, Stasheff, and others on the early and recent history of the subject. But the bulk of the volume consists of research papers on topics that have been strongly influenced by Boardman's work. Articles give readers a vivid sense of the current state of the theory of "homotopy-invariant algebraic structures". Also included are two major foundational papers by Goerss and Strickland on applications of methods of algebra (i.e., Dieudonné modules and formal schemes) to problems of topology. Boardman is known for the depth and wit of his ideas. This volume is intended to reflect and to celebrate those fine characteristics.

Higher Homotopy Structures In Topology And Mathematical Physics

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Author : James D. Stasheff
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Higher Homotopy Structures In Topology And Mathematical Physics written by James D. Stasheff 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 1999 with Mathematics categories.

Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas.

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.

Homotopy Methods In Algebraic Topology

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Author : Nicholas Kuhn
language : en
Publisher: American Mathematical Soc.
Release Date : 2001-04-25

Homotopy Methods In Algebraic Topology written by Nicholas Kuhn 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 2001-04-25 with Mathematics categories.

This volume presents the proceedings from the AMS-IMS-SIAM Summer Research Conference on Homotopy Methods in Algebraic Topology held at the University of Colorado (Boulder). The conference coincided with the sixtieth birthday of J. Peter May. An article is included reflecting his wide-ranging and influential contributions to the subject area. Other articles in the book discuss the ordinary, elliptic and real-oriented Adams spectral sequences, mapping class groups, configuration spaces, extended powers, operads, the telescope conjecture, $p$-compact groups, algebraic K theory, stable and unstable splittings, the calculus of functors, the $E_{\infty}$ tensor product, and equivariant cohomology theories. The book offers a compendious source on modern aspects of homotopy theoretic methods in many algebraic settings.

Alpine Perspectives On Algebraic Topology

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Author : Christian Ausoni
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Alpine Perspectives On Algebraic Topology written by Christian Ausoni 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.

Contains the proceedings of the Third Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, on August 18-24, 2008. This title includes research papers on stable homotopy theory, the theory of operads, localization and algebraic K-theory, as well as survey papers on the Witten genus and localization techniques.

Homotopy Of Operads And Grothendieck Teichmuller Groups

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Author : Benoit Fresse
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-04-21

Homotopy Of Operads And Grothendieck Teichmuller Groups written by Benoit Fresse 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 2017-04-21 with Mathematics categories.

The Grothendieck–Teichmüller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as a group of homotopy automorphisms associated to the operad of little 2-discs, which is an object used to model commutative homotopy structures in topology. This volume gives a comprehensive survey on the algebraic aspects of this subject. The book explains the definition of an operad in a general context, reviews the definition of the little discs operads, and explains the definition of the Grothendieck–Teichmüller group from the viewpoint of the theory of operads. In the course of this study, the relationship between the little discs operads and the definition of universal operations associated to braided monoidal category structures is explained. Also provided is a comprehensive and self-contained survey of the applications of Hopf algebras to the definition of a rationalization process, the Malcev completion, for groups and groupoids. Most definitions are carefully reviewed in the book; it requires minimal prerequisites to be accessible to a broad readership of graduate students and researchers interested in the applications of operads.

Stable Categories And Structured Ring Spectra

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Author : Andrew J. Blumberg
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-21

Stable Categories And Structured Ring Spectra written by Andrew J. Blumberg 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 2022-07-21 with Mathematics categories.

A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.