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Categories for the Working Mathematician (Paperback, 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978)
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Categories for the Working Mathematician (Paperback, 2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978)
Series: Graduate Texts in Mathematics, 5
Expected to ship within 10 - 15 working days
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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. It 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 characterised by Beck's theorem. After considering a variety of
applications, the book continues with the construction and
exploitation of Kan extensions. This second edition includes a
number of revisions and additions, including new chapters on topics
of active interest: symmetric monoidal categories and braided
monoidal categories, and the coherence theorems for them, as well
as 2-categories and the higher dimensional categories which have
recently come into prominence.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Graduate Texts in Mathematics, 5 |
Release date: |
November 2010 |
First published: |
1998 |
Authors: |
Saunders MacLane
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Dimensions: |
234 x 156 x 17mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
314 |
Edition: |
2nd ed. 1978. Softcover reprint of the original 2nd ed. 1978 |
ISBN-13: |
978-1-4419-3123-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Algebraic topology
|
LSN: |
1-4419-3123-6 |
Barcode: |
9781441931238 |
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