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Real Homotopy of Configuration Spaces

This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces;

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Combinatorial And Toric Homotopy: Introductory Lectures

applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion;

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Cubical Homotopy Theory

accessible account of homotopy limits and colimits of diagrams of spaces, and a treatment of cosimplicial spaces. The book finishes with applications;

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Calculus of Fractions and Homotopy Theory

category of CW-complexes modulo homotopy, i.e. the category whose objects are spaces of the homotopy type of a CW-complex and whose morphisms are;

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An Introduction to Homotopy Theory

, the classical theorems, the exact homotopy sequence, fibre-spaces, the Hopf invariant, and the Freudenthal suspension. The final chapters;

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Algebraic Methods In Unstable Homotopy Theory

exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory;

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Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2

of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and the definition;

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Topology

. - Homotopy. - The Two Countability Axioms. - CW-Complexes. - Construction of Continuous Functions on Topological Spaces. - Covering Spaces;

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An Illustrated Introduction to Topology and Homotopy

An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner;

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Higher Segal Spaces

, including Waldhausen's S-construction, Hecke-Waldhausen constructions, and configuration spaces of flags. The relevance of 2-Segal spaces in the;

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Algebraic Topology and Algebraic K-Theory (AM-113), Volume 113

includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic K-theory of spaces, and other subjects.;

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Homotopy Theory with Bornological Coarse Spaces

Providing a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories;

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The Homotopy Theory of ( ,1)-Categories

, complete Segal spaces, quasi-categories, and relative categories, all from a homotopy-theoretic perspective. Introductory chapters provide;

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The Homotopy Theory of ( ,1)-Categories

, complete Segal spaces, quasi-categories, and relative categories, all from a homotopy-theoretic perspective. Introductory chapters provide;

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Model Categories And Their Localizations

constructions analogous to those used to study the homotopy theory of topological spaces. A model category has a class of maps called weak;

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Rational Homotopy Theory Ii

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces;

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London Mathematical Society Lecture Note Series

Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to;

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London Mathematical Society Lecture Note Series

. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the;

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Cambridge Studies in Advanced Mathematics

framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and;

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Cellular Structures in Topology

framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and;

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Simplicial Homotopy Theory

to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts;

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Configuration Spaces

Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various;

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London Mathematical Society Lecture Note Series

This 1987 volume presents a collection of papers given at the 1985 Durham Symposium on homotopy theory. They survey recent developments;

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Basic Algebraic Topology

covers higher homotopy groups, Hurewicz's isomorphism theorem, obstruction theory, Eilenberg-Mac Lane spaces, and Moore-Postnikov decomposition;

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From the Basic Homotopy Lemma to the Classification of $C^*$-algebras

This book examines some recent developments in the theory of $C^*$-algebras, which are algebras of operators on Hilbert spaces. An;

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Simplicial Objects in Algebraic Topology

sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory;

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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92

Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces;

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