Higher Topos Theory

Higher Topos Theory
Author: Jacob Lurie
Publisher: Princeton University Press
Total Pages: 944
Release: 2009-07-26
Genre: Mathematics
ISBN: 0691140480

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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 shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.


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
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.
Sketches of an Elephant: A Topos Theory Compendium
Language: en
Pages: 836
Authors: P. T. Johnstone
Categories: Computers
Type: BOOK - Published: 2002-09-12 - Publisher: Oxford University Press

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Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from th
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
Elements of ∞-Category Theory
Language: en
Pages: 782
Authors: Emily Riehl
Categories: Mathematics
Type: BOOK - Published: 2022-02-10 - Publisher: Cambridge University Press

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The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninit