Categories for the Working Mathematician [2 ed.] 0387984038, 9780387984032
Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting
314 8 3MB
English Pages 317 [328] Year 1978
Table of contents :
Front Matter....Pages i-xii
Introduction....Pages 1-5
Categories, Functors, and Natural Transformations....Pages 7-30
Constructions on Categories....Pages 31-53
Universals and Limits....Pages 55-78
Adjoints....Pages 79-108
Limits....Pages 109-136
Monads and Algebras....Pages 137-159
Monoids....Pages 161-190
Abelian Categories....Pages 191-209
Special Limits....Pages 211-232
Kan Extensions....Pages 233-250
Symmetry and Braidings in Monoidal Categories....Pages 251-266
Structures in Categories....Pages 267-287
Back Matter....Pages 289-317
Front Matter....Pages i-xii
Introduction....Pages 1-5
Categories, Functors, and Natural Transformations....Pages 7-30
Constructions on Categories....Pages 31-53
Universals and Limits....Pages 55-78
Adjoints....Pages 79-108
Limits....Pages 109-136
Monads and Algebras....Pages 137-159
Monoids....Pages 161-190
Abelian Categories....Pages 191-209
Special Limits....Pages 211-232
Kan Extensions....Pages 233-250
Symmetry and Braidings in Monoidal Categories....Pages 251-266
Structures in Categories....Pages 267-287
Back Matter....Pages 289-317
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