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Homotopy Theory with Bornological Coarse Spaces

. It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and further constructs the universal;

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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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Topological and Bivariant K-Theory

Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and;

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Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2

of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and;

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Algebraic Methods In Unstable Homotopy Theory

various aspects of unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants;

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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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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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Topological Algebras and their Applications

, topological rings, topological modules, topological groups and semigroups; bornological-algebraic structures such as bornological linear spaces;

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An Introduction to Homotopy Theory

Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development;

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The Homotopy Theory of ( ,1)-Categories

different approaches to this structure, all of them equivalent, and each with its corresponding homotopy theory. This book provides a relatively;

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The Homotopy Theory of ( ,1)-Categories

different approaches to this structure, all of them equivalent, and each with its corresponding homotopy theory. This book provides a relatively;

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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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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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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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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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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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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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Lectures on Coarse Geometry

Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the;

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Combinatorial And Toric Homotopy: Introductory Lectures

. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis-Januszkiewicz spaces;

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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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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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Algebraic L-theory and Topological Manifolds

manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincare duality space with a local quadratic;

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Algebraic L-theory and Topological Manifolds

manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincare duality space with a local quadratic;

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London Mathematical Society Lecture Note Series

present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and etale homotopy, all written from;

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Homotopy Theory

homotopy, different aspects of equivariant homotopy theory and $K$-theory, as well as articles concerned with structured ring spectra, cyclotomic;

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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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