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johnstone peter t. - sketches of an elephant: a topos theory compendium
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Sketches of an Elephant: A Topos Theory Compendium 2 Volume Set




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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 09/2002





Note Editore

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.




Sommario

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
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




Autore

Dr P.T. Johnstone Reader in the Foundations of Mathematics Dept of Pure Mathematics & Mathematical Statistics University of Cambridge Cambridge CB3 0BW










Altre Informazioni

ISBN:

9780198524960

Condizione: Nuovo
Collana: Oxford Logic Guides
Dimensioni: 244 x 75.0 x 166 mm Ø 2029 gr
Formato: Hardback
Illustration Notes:-
Pagine Arabe: 1288


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