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 Spring semester

õppejõud on määramata

lecturer of 2020/2021 Autumn 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

Prerequisite course 1

Study literature

Lumiste, Ü. 1987, Topoloogia; Lumiste, Ü. 1987 Eritüüpi topoloogilised ruumid.

Replacement literature

Sinjukov, N. S.; Matvejenko, T. I. 1984 Topologia.