RELATIVE CATEGORY THEORY AND GEOMETRIC MORPHISMS by Jonathan Chapman, Frederick Rowbottom ( 9780198534341 )

Item Details

Title:

RELATIVE CATEGORY THEORY AND GEOMETRIC MORPHISMS
A LOGICAL APPROACH

By:

Jonathan Chapman, Frederick Rowbottom

Format:

Hardback

List price:

£34.99

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£30.62

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ISBN 10:

0198534345

ISBN 13:

9780198534341

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Publisher:

OXFORD UNIVERSITY PRESS

Pub. date:

1 December, 1991

Series:

Oxford Logic Guides 16

Pages:

276

Description:

Topos theory provides an important setting and language for much of mathematical logic and set theory. This book presents a convenient and natural solution to the treatment of geometric morphisms in this setting and shows how this may be applied to topics such as the relative Giraud theorem.

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.

Illustrations:

numerous line diagrams

Publication:

Imprint:

Clarendon Press

Returns:

Returnable

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