MU:MU24022 Topology - Course Information
MU24022 Topology
Mathematical Institute in OpavaWinter 2017
- Extent and Intensity
- 2/2/0. 2 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Michaela Mlíchová, Ph.D. (lecturer)
doc. RNDr. Jana Hantáková, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Michaela Mlíchová, Ph.D.
Mathematical Institute in Opava - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics (programme MU, N1101)
- Course objectives
- The course will provide the students with the basic knowledge of general topology.
- Syllabus
- 1. Topological spaces - topology, open and closed sets, Euclidean topology, basis, interior and exterior, limit points and closure, neighbourhoods, connectedness, subspaces.
2. Homeomorphisms and continuous mappings.
3. Metric spaces - metric, convergence of sequences.
4. Compactness - compact spaces, Heine-Borel theorem.
5. Finite products - product topology, Tychonoff's theorem for finite products, products and connectedness.
6. Countable products - product topology.
7. Tychonoff's theorem - product topology for all products, Tychonoff's theorem.
8. Quotient spaces.
- 1. Topological spaces - topology, open and closed sets, Euclidean topology, basis, interior and exterior, limit points and closure, neighbourhoods, connectedness, subspaces.
- Literature
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- The examination is written and oral.
- Enrolment Statistics (Winter 2017, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2017/MU24022