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Lecturer(s)
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Botur Michal, doc. Mgr. Ph.D.
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Halaš Radomír, prof. Mgr. Dr.
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Pócs Jozef, Mgr. Ph.D.
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Course content
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1. Objects and morphisms, types of morphisms (monomorphisms, epimorphisms, isomorphisms). 2. Isomorphic categories. Similar categories. 3. Fibres in categories, subobjects and factor objects. 4. Projective and inductive construction of objects. 5. Functors in category theory.
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Learning activities and teaching methods
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Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
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Learning outcomes
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understand basics of category theory.
5. Synthesis Summarizes and enlarges knowledges about morphisms in concrete algebraic structures.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral exam
Credit: activity during seminars. Exam: the student has to understand the subject and be able to prove the principal results.
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Recommended literature
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Adámek. (1982). Matematické struktury a kategorie. SNTL, Praha.
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Awodey S. (2010). Category Theory. Oxford University Press.
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Leinster T. (2014). Basic Category Theory. Cambridge University Press.
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