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Last update: T_MUUK (06.05.2015)
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Last update: Mgr. Dalibor Šmíd, Ph.D. (28.10.2019)
There will be several homeworks. As a requirement to take the final exam students must submit
solutions to at least one homework. The final exam will be an oral exam. |
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Last update: Roman Golovko, Ph.D. (26.09.2018)
1) T. Leinster: Basic Category Theory, Cambridge Studies in Advanced Mathematics 143, Cam- bridge University Press, 2014. Available at arXiv:1612.09375.
2) S. MacLane: Categories for the Working Mathematician, Springer Verlag, Berlin, 1971
3) J. Adamek, H. Herrlich, G. Strecker: Abstract and Concrete Categories , John Wiley, New York, 1990 |
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Last update: Roman Golovko, Ph.D. (26.09.2018)
There will be several homeworks. As a requirement to take the final exam students must submit solutions to at least one homework. The final exam will be an oral exam. |
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Last update: Roman Golovko, Ph.D. (26.09.2018)
The basic notions and facts of category theory are presented, namely category and subcategory, covariant and contravariant functors, full and faithful, hom-functors, natural transfomations and the functor categories, Yoneda lemma; limits and colimits of diagrams, Maranda's and Mitchel's theorems; adjoint functors, free functors, reflective and coreflective subcategories, closed and Cartesian closed categories, contravariant adjoints and dualities; comma-categories; Adjoint Functor Theorem and Special Adjoint Functor Theorem; extremal and regular monomorphisms (epimorphisms), factorization systems. For all the above, many examples and some applications are given. |