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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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Commutator Calculus and Groups of Homotopy Classes

extends results of rational homotopy theory to a subring of the rationale. The methods of proof employ classical commutator calculus of nilpotent;

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Higher Categories and Homotopical Algebra

This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to;

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Cubical Homotopy Theory

Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological;

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Modal Homotopy Type Theory

pedigree. Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy offers an introduction to this new language and its modal;

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Homotopy Theory

This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday;

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Algebraic Methods In Unstable Homotopy Theory

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which;

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Algebraic Homotopy

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed;

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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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Cambridge Studies in Advanced Mathematics

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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The Homotopy Theory of ( ,1)-Categories

The notion of an ( ,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many;

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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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Foundations of Stable Homotopy Theory

and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It;

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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128

Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on;

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Simplicial Homotopy Theory

theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers;

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Global Homotopy Theory

bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible;

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Model Categories

category and its homotopy category. The author develops the theory of model categories, giving a careful development of the main examples. One;

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Syzygies and Homotopy Theory

researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well;

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Homotopical Quantum Field Theory

This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy prefactorization algebra using;

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Fast Solution of Discretized Optimization Problems

new results and recent methods is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory.;

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Homotopy Theory of Schemes

In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth;

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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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Model Categories And Their Localizations

used in other fields where homotopy theoretic ideas are becoming important, including modern algebraic $K$-theory and algebraic geometry;

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Categorical Homotopy Theory

This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two;

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Algebraic Structure of String Field Theory

from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view;

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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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