Model Categories

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Model categories are used as a tool for inverting certain maps in a category in a controllable manner. They are useful in diverse areas of mathematics. This boo

Representation Theory and Beyond

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This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018,

From Categories to Homotopy Theory

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Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between p

Axiomatic Stable Homotopy Theory

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We define and investigate a class of categories with formal properties similar to those of the homotopy category of spectra. This class includes suitable versio

Local Homotopy Theory

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This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy t