Cubical Models of $(infty ,1)$-Categories

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Higher Operads, Higher Categories

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Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.

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

Nonabelian Algebraic Topology

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The main theme of this book is that the use of filtered spaces rather than just topological spaces allows the development of basic algebraic topology in terms o

The Homotopy Theory of (∞,1)-Categories

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