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:

£32.99

Our price:

£28.87

Discount:

12.5% off

You save:

£4.12

ISBN 10:

0198534345

ISBN 13:

9780198534341

Availability:

Usually dispatched within 1-3 weeks.

Delivery rates

Stock:

Currently 0 available

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

Some other items by this author:

ADAGIO IN DARKNESS (PB)

AN ORATION DELIVERED BEFORE THE CITIZENS OF BOSTON ON THE SIXTY FIRST ANNIVERSARY OF AMERICAN INDEPENDENCE

AN ORATION DELIVERED BEFORE THE WHIGS OF BRISTOL COUNTY

DESIGNERS VISIONARIES AND OTHER STORIES