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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.
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
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Higher Categories and Homotopical Algebra
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At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.