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portada Elementary Categories, Elementary Toposes (Oxford Logic Guides)
Type
Physical Book
Publisher
Author
Year
1996
Language
English
Pages
280
Format
Paperback
ISBN
0198514735
ISBN13
9780198514732
Categories

Elementary Categories, Elementary Toposes (Oxford Logic Guides)

Colin Mclarty (Author) · Oxford University Press · Paperback

Elementary Categories, Elementary Toposes (Oxford Logic Guides) - Colin Mclarty

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Synopsis "Elementary Categories, Elementary Toposes (Oxford Logic Guides) "

The book covers elementary aspects of category theory and topos theory for graduate students in mathematics, computer science, and logic; it has few mathematical prerequisites, and uses categorical methods throughout, rather than beginning with set theoretical foundations. Working with key concepts such as Cartesian closedness, adjunctions, regular categories, and the internal logic of a topos, the book features full statements and elementary proofs for the central theorems, including the fundamental theorem of toposes, the sheafification theorem, and the construction of Grothendieck toposes over any topos as base. Other chapters discuss applications of toposes in detail, namely to sets, to basic differential geometry, and to recursive analysis.

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