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Toposes and Local Set Theories
Language: en
Pages: 290
Authors: John L. Bell
Categories: Mathematics
Type: BOOK - Published: 2008-01-01 - Publisher: Courier Corporation

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This text introduces topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and
Toposes, Triples and Theories
Language: en
Pages: 347
Authors: M. Barr
Categories: Mathematics
Type: BOOK - Published: 2013-06-09 - Publisher: Springer

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As its title suggests, this book is an introduction to three ideas and the connections between them. Before describing the content of the book in detail, we des
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
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
Theories, Sites, Toposes
Language: en
Pages: 381
Authors: Olivia Caramello
Categories: Mathematics
Type: BOOK - Published: 2018 - Publisher: Oxford University Press

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According to Grothendieck, the notion of topos is "the bed or deep river where come to be married geometry and algebra, topology and arithmetic, mathematical lo