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| Contents | |
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The book has twelve chapters, which are:
Chapter I. Categories, Functors, and Natural Transformations.
Chapter II. Constructions on Categories.
Chapter III. Universals and Limits.
Chapter IV. Adjoints.
Chapter V. Limits.
Chapter VI. Monads and Algebras.
Chapter VII. Monoids.
Chapter VIII. Abelian Categories.
Chapter IX. Special Limits.
Chapter X. Kan Extensions.
Chapter XI. Symmetry and Braiding in Monoidal Categories
Chapter XII. Structures in Categories.
Chapters XI and XII were added in the 1998 second edition, the first in view of its importance in string theory and quantum field theory, and the second to address higher dimensional categories that have come into prominence.[1]
Although it is the classic reference for category theory, some of the terminology is not standard. In particular, Mac Lane attempted to settle an ambiguity in usage for the terms epimorphism and monomorphism by introducing the terms epic and monic, but the distinction is not in common use.[2]
[edit] Tags:Category Theory,Categories,Functors,Natural Transformations,Limits,Adjoints,Monads,Monoids,Abelian Categories,Special Limits,Kan Extensions,Braiding In Monoidal Categories,String Theory,Quantum Field Theory,Epimorphism,Monomorphism, | |
| References | |
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Mac Lane, Saunders (September 1998). Categories for the Working Mathematician (second ed.). Springer. ISBN 0-387-98403-8. (Volume 5 in the series Graduate Texts in Mathematics)
[edit] Tags:Graduate Texts In Mathematics,Isbn,Mathematician,Mac Lane, Saunders, | |
| Notes | |
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^ From the preface to the second edition.
^ Bergman, George (1998). An Invitation to General Algebra and Universal Constructions. Henry Helson. p. 179.
Retrieved from "http://en.wikipedia.org/w/index.php?title=Categories_for_the_Working_Mathematician&oldid=463131387"
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