Elementary Categories, Elementary Toposes
Colin McLarty
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.
Catégories:
Année:
1992
Editeur::
Oxford University Press
Langue:
english
Pages:
267
ISBN 10:
0198533926
ISBN 13:
9780198533924
Collection:
Oxford Logic Guides 21
Fichier:
DJVU, 2.26 MB
IPFS:
,
english, 1992