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Higher Topos Theory
Language: en
Pages: 944
Authors: Jacob Lurie
Categories: Mathematics
Type: BOOK - Published: 2009-07-26 - Publisher: Princeton University Press

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In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and show
Categories for the Working Mathematician
Language: en
Pages: 320
Authors: Saunders Mac Lane
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural tr
Higher Operads, Higher Categories
Language: en
Pages: 451
Authors: Tom Leinster
Categories: Mathematics
Type: BOOK - Published: 2004-07-22 - Publisher: Cambridge University Press

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Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.
Homotopy Theory of Higher Categories
Language: en
Pages: 653
Authors: Carlos Simpson
Categories: Mathematics
Type: BOOK - Published: 2011-10-20 - Publisher: Cambridge University Press

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The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theor
Higher Categories and Homotopical Algebra
Language: en
Pages: 449
Authors: Denis-Charles Cisinski
Categories: Mathematics
Type: BOOK - Published: 2019-05-02 - Publisher: Cambridge University Press

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