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Lecturer(s)
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Botur Michal, doc. Mgr. Ph.D.
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Course content
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1) Introduction of categories, examples 2) Basic concepts (epimorphisms, monomorphisms, initial and terminal objects, functor, natural transformation), 3) Limits and products (colimits and coproducts), 4) Adjunct functors 5) Monads and algebras
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Learning activities and teaching methods
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Lecture, Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
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Learning outcomes
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Understand the basics of category theory.
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Prerequisites
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Knowledge of set theory and theoretical algebra.
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Assessment methods and criteria
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Oral exam, Written exam
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Recommended literature
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Francis Borceux. Handbook of Categorical Algebra I-III.
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Jiří Adámek, Horst Herrlich, George E. Strecker. (2009). Abstract and Concrete Categories.
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Saunders Mac Lane. (1971). Categories for the Working Mathematician.
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Tom Leinster. Basic Category Theory.
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