Sketches of an elephant : a topos theory compendium

Author(s)

• Johnstone, P. T

Bibliographic Information

Sketches of an elephant : a topos theory compendium

Peter T. Johnstone

（Oxford logic guides, 43-44）

Clarendon Press , Oxford University Press, c2002

• v. 1
• v. 2
• : set

Note

Includes bibliographical references and indexes

Description and Table of Contents

Volume

v. 2 ISBN 9780198515982

Description

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 the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and thereby to demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

Table of Contents

• C1 Sheaves on a Locale
• C2 Sheaves on a Site
• C3 Classes of Geometric Morphisms
• C4 Local Compactness and Exponentiability
• C5 Toposes as Groupoids
• D1 First-Order Categorical Logic
• D2 Sketches
• D3 Classifying Toposes
• D4 Higher-Order Logic
• D5 Aspects of Finiteness

Volume

: set ISBN 9780198524960

Description

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 the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and thereby to demonstrate the overall unity of the subject. The material is organised in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

Table of Contents

• A1 REGULAR AND CARTESIAN CLOSED CATEGORIES
• C1 SHEAVES ON A LOCALE

Volume

v. 1 ISBN 9780198534259

Description

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 the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and thereby to demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

Table of Contents

• A1 Regular and Cartesian Closed Categories
• A2 Toposes - Basic Theory
• A3 Allegories
• A4 Geometric Morphisms - Basic Theory
• B1 Fibrations and Indexed Categories
• B2 Internal and Locally Internal Categories
• B3 Toposes over a base
• B4 BTop/S as a 2-Category

by "Nielsen BookData"

Details

• NCID: BA58927426
• ISBN:
  • 9780198534259
  • 9780198515982
  • 9780198524960
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Oxford,New York
• Pages/Volumes: 2 v.
• Size: 24 cm
• Parent Bibliography ID:
  • BA00017765