Topology
Course code
MLM6016.DT
old course code
MLM6016
Course title in Estonian
Topoloogia
Course title in English
Topology
ECTS credits
2.0
approximate amount of contact lessons
40
Teaching semester
autumn - spring
Assessment form
Examination
lecturer of 2019/2020  Autumn semester
õppejõud on määramata
lecturer of 2019/2020  Spring semester
lecturer not assigned
Course aims
To provide basic knowledge in general topology and surface topology. Core course from the bachelor level mathematics programme.
Brief description of the course
Metric spaces, equivalence of metrics. The notion of a topological space, examples. Comparison of topologies. Continuous maps. Factor-space and product-space. Compactness and connectedness. Invariance of the group of topological mappings. Surface topology. Eulers theorem about convex polyhedrons.
Assessment methods
Graded assessment is based on two in-class tests (each worth 50 points).
Teacher
prof Andi Kivinukk
Study literature
Lumiste, Ü. 1987, Topoloogia; Lumiste, Ü. 1987 Eritüüpi topoloogilised ruumid.
Replacement literature
Sinjukov, N. S.; Matvejenko, T. I. 1984 Topologia.