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Relative Category Theory and Geometric Morphisms: A Logical Approach
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Relative Category Theory and Geometric Morphisms: A Logical Approach (Hardback)

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Synopsis

Topos theory provides an important setting and language for much of mathematical logic and set theory. It is well known that a typed language can be given for a topos which allows a topos to be regarded as a category of sets. This enables a fruitful interplay between category theory and set theory. However, one stumbling block to a logical approach to topos theory has been the treatment of geometric morphisms. This book presents a convenient and natural solution to this problem by developing the notion of a frame relative to an elementary topos. The authors show how this technique enables a logical approach to be taken to topics such as category theory relative to a topos and the relative Giraud theorem. The work is essentially self-contained except that the authors presuppose a familiarity with basic category theory and topos theory.

Science & MathematicsMathematicsAlgebraScience & MathematicsMathematicsMathematical foundationsMathematical logic Publisher: Oxford University Press Publication Date: 01/12/1991 ISBN-13: 9780198534341  Details: Type: Hardback Format: Books
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