Homotopy Theory of Diagrams

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In this paper the authors develop homotopy theoretical methods for studying diagrams. In particular they explain how to construct homotopy colimits and limits i

Categorical Homotopy Theory

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

Homotopy Theory of Diagrams

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In this paper the authors develop homotopy theoretical methods for studying diagrams. In particular they explain how to construct homotopy colimits and limits i

Diagram Cohomology and Isovariant Homotopy Theory

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Obstruction theoretic methods are introduced into isovariant homotopy theory for a class of spaces with group actions; the latter includes all smooth actions of

Cubical Homotopy Theory

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A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.