Sketches of an elephant : a topos theory compendium
著者
書誌事項
Sketches of an elephant : a topos theory compendium
（Oxford logic guides, 43-44）
Clarendon Press , Oxford University Press, c2002
- v. 1
- v. 2
- : set
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注記
Includes bibliographical references and indexes
内容説明・目次
- 巻冊次
-
v. 2 ISBN 9780198515982
内容説明
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.
目次
- 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
- 巻冊次
-
: set ISBN 9780198524960
内容説明
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.
目次
- A1 REGULAR AND CARTESIAN CLOSED CATEGORIES
- C1 SHEAVES ON A LOCALE
- 巻冊次
-
v. 1 ISBN 9780198534259
内容説明
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.
目次
- 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
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