| Course title | Topology |
|---|---|
| Course code | KMA/E112 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | unspecified |
| Year of study | not specified |
| Semester | Summer |
| Number of ECTS credits | 6 |
| Language of instruction | English |
| Status of course | unspecified |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Course availability | The course is available to visiting students |
| Lecturer(s) |
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| Course content |
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1. Basic notions (open and closed subsets, continuity). 2. Basic constructions (subspaces, products, sums, quotients). 3. Separation axioms. 4. Compact spaces. 5. Compactifications. 6. Generalizations of compactness. 7. Normal spaces, Urysohn's lemma. 8. Metrizability. 9. Functions spaces. 10. Stone-Weierstrass theorem. 11. Brouwer's fixed-point theorem. 12. Topological groups.
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| Learning activities and teaching methods |
| unspecified |
| Learning outcomes |
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Students will learn basic concepts of topology - basic constructions, separation axioms, compactness, metrizability, functions spaces.
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| Prerequisites |
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unspecified
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| Assessment methods and criteria |
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unspecified
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| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester |
|---|