Category Theory
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Word Count
82,250 words, Guess
Page Count
329 pages
Identifiers
- Open LibraryOL26438644M
- ISBN-100387984038
- OCLC Control Number37928530
- Internet Archivecategoriesforwor00lane_308
- Library of Congress Control Number97045229
Classifications
- LCCQA169 .M33 1998
- LCCQA612.33
Description
Category Theory
Description
"Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions."--Jacket.
Subjects
Topics
Other Editions
- Category Theory
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