Elementary Categories, Elementary Toposes (Oxford Logic Guides)

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9780198514732: 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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About the Author:

Colin McLarty is at Case Western Reserve University, Cleveland, Ohio.


"An exceptionally clearly written and wide-ranging introduction to category and topos theory. . . . packed with things interesting to the expert, yet presented in a manner intelligible to the beginner. . . . contains a wealth of thought-provoking exercises." --Journal of Symbolic Logic

"Provides a first introduction to the theory of categories and functors, and to topos theory. McLarty manages to cover a considerable range of topics in a clear and elegant fashion, thus giving these readers a good first impression of what the subject is about. McLarty's perspicuous treatment provides a good first introduction." --Mathematical Reviews

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