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Homotopy Limit Functors on Model Categories and Homotopical Categories

. Model categories have become a standard tool in algebraic topology and homological algebra and, increasingly, in other fields where homotopy;

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Categorical Homotopy Theory

unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are;

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Higher Categories and Homotopical Algebra

strong emphasis on homotopical algebra provides clear insights into classical constructions such as calculus of fractions, homotopy limits and;

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A Functorial Model Theory

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and;

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A Functorial Model Theory

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and;

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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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Homotopy Theory of Higher Categories

categories. The fully iterative construction applies to enrichment over any Cartesian model category, and yields model categories for weakly;

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The Homotopy Theory of ( ,1)-Categories

self-contained source of the definitions of the different models, the model structure (homotopy theory) of each, and the equivalences between;

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The Homotopy Theory of ( ,1)-Categories

self-contained source of the definitions of the different models, the model structure (homotopy theory) of each, and the equivalences between;

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Methods of Homological Algebra

This modern approach to homological algebra by two leading writers in the field is based on the systematic use of the language and ideas;

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A Handbook of Model Categories

This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs;

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Categories and Sheaves

beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories;

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Dualizable Tensor Categories

on tensor categories and homotopy fixed point structures, which in turn provide structured field theories; we describe the expectedconnection;

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Cubical Homotopy Theory

I focuses on foundational material on homotopy theory, viewed through the lens of cubical diagrams: fibrations and cofibrations, homotopy;

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More Concise Algebraic Topology

the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and;

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Foundations of Stable Homotopy Theory

topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the;

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Categories For The Working Mathematician

of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the;

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Triangulated Categories of Mixed Motives

The primary aim of this monograph is to achieve part of Beilinson's program on mixed motives using Voevodsky's theories of A1-homotopy and;

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Model Categories And Their Localizations

past several decades the language of model categories has become standard in many areas of algebraic topology, and it is increasingly being;

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Building Bridges Between Algebra and Topology

growing area of support theory for triangulated categories to the striking consequences of the formulation in the homotopy theory of classical;

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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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God's Ultimate Task

applications are manifold. This approach to it is based on the systematic use of the language and ideas of derived categories and derived functors.;

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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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Soul Powerful

applications are manifold. This approach to it is based on the systematic use of the language and ideas of derived categories and derived functors.;

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From Categories to Homotopy Theory

bridges the gap between pure category theory and its numerous applications in homotopy theory, providing the necessary background information to;

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Triangulated Categories. (AM-148), Volume 148

The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their;

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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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