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Type: BOOK - Published: 2004 - Publisher: Cambridge University Press

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Categorical Logic and Type Theory
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This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred cat
Topology
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Type: BOOK - Published: 2020-08-18 - Publisher: MIT Press

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A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach
Practical Foundations of Mathematics
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Authors: Paul Taylor
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Type: BOOK - Published: 1999-05-13 - Publisher: Cambridge University Press

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Practical Foundations collects the methods of construction of the objects of twentieth-century mathematics. Although it is mainly concerned with a framework ess
Sketches of an Elephant: A Topos Theory Compendium
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Authors: P. T. Johnstone
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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