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Lecturer(s)
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Piskač Tomáš, prof. RNDr. DSc.
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Course content
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1. Metric spaces, continuous mappings. 2. Topological spaces. 3. Subspaces, the cartesian product of spaces. 4. Connected and path-connected spaces. 5. Convergence and compactness. 6. Separation axioms. 7. Uniform spaces.
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Learning activities and teaching methods
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Lecture, Practicum
- Contact hours
- 52 hours per semester
- Preparation for an examination (30-60)
- 52 hours per semester
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| prerequisite |
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| Knowledge |
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| The only prerequisite is a moderate level of experience with mathematical thinking and proof techniques. |
| learning outcomes |
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| Upon completion of this course, students will acquire basic orientation in the subject and become capable of independent study of the literature. |
| teaching methods |
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| Lecture |
| Practicum |
| assessment methods |
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| Oral exam |
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Recommended literature
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Bredon, Glen E. Topology and geometry. New York Springer, 1993. ISBN 0-387-97926-3.
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Čech, Eduard. Bodové množiny. 2. rozš. vyd. Praha : Academia, 1966.
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J. Adámek, V. Koubek, J. Reitermann. Základy obecné topologie, Matem. seminář. SNTL, 1977.
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Munkres, James R. Topology. 2nd ed. Upper Saddle River : Prentice Hall, 2000. ISBN 0-13-181629-2.
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