Homotopy Invariant Algebraic Structures

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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

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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.

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.

A Concise Course In Algebraic Topology

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Author : J. P. May
language : en
Publisher: University of Chicago Press
Release Date : 1999-09

A Concise Course In Algebraic Topology written by J. P. May and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09 with Mathematics categories.

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Homotopy Theory An Introduction To Algebraic Topology

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Author :
language : en
Publisher: Academic Press
Release Date : 1975-11-12

Homotopy Theory An Introduction To Algebraic Topology 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 1975-11-12 with Mathematics categories.

Homotopy Theory: An Introduction to Algebraic Topology

Operads In Algebra Topology And Physics

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Author : Martin Markl
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Operads In Algebra Topology And Physics written by Martin Markl 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 2002 with Mathematics categories.

Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. From their beginnings in the 1960s, they have developed to encompass such areas as combinatorics, knot theory, moduli spaces, string field theory and deformation quantization.

Categorical Decomposition Techniques In Algebraic Topology

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Author : Gregory Arone
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Categorical Decomposition Techniques In Algebraic Topology written by Gregory Arone and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily for researchers and graduate students working in the field of algebraic topology. Included is an important article by Cohen, Johnes and Yan on the homology of the space of smooth loops on a manifold M, endowed with the Chas-Sullivan intersection product, as well as an article by Goerss, Henn and Mahowald on stable homotopy groups of spheres, which uses the cutting edge technology of "topological modular forms".

Singularities In Algebraic And Analytic Geometry

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Author : Caroline Grant Melles
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Singularities In Algebraic And Analytic Geometry written by Caroline Grant Melles 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 volume contains the proceedings of an AMS special session held at the 1999 Joint Mathematics Meetings in San Antonio. The participants were an international group of researchers studying singularities from algebraic and analytic viewpoints. The contributed papers contain original results as well as some expository and historical material. This volume is dedicated to Oscar Zariski, on the one hundredth anniversary of his birth. Topics include the role of valuation theory in algebraic geometry with recent applications to the structure of morphisms; algorithmic approaches to resolution of equisingular surface singularities and locally toric varieties; weak subintegral closures of ideals and Rees valuations; constructions of universal weakly subintegral extensions of rings; direct-sum decompositions of finitely generated modules; construction and examples of resolution graphs of surface singularities; Jacobians of meromorphic curves; investigation of spectral numbers of curve singularities using Puiseux pairs; Gröbner basis calculations of Hochschild homology for hypersurfaces with isolated singularities; and the theory of characteristic classes of singular spaces - a brief history with conjectures and open problems.

Operads And Universal Algebra Proceedings Of The International Conference

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Author : Chengming Bai
language : en
Publisher: World Scientific
Release Date : 2012-02-23

Operads And Universal Algebra Proceedings Of The International Conference written by Chengming Bai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-23 with Mathematics categories.

The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.