Elementary Categories, Elementary Toposes

Elementary Categories, Elementary Toposes

Colin McLarty
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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.
درجه (قاطیغوری(:
کال:
1992
خپرندویه اداره:
Oxford University Press
ژبه:
english
صفحه:
267
ISBN 10:
0198533926
ISBN 13:
9780198533924
لړ (سلسله):
Oxford Logic Guides 21
فایل:
DJVU, 2.26 MB
IPFS:
CID , CID Blake2b
english, 1992
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