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251-0447-00L 5 Credits BSC , DS , MSC D-MATH , D-INFK

Topological methods in Combinatorics and Geometry

Lecturers & Examiners: Prof. Dr. Jiri Matousek, Dr. Uli Wagner
VVZ CR n/a

Last Updated: 2026-02-05 15:29:32

Abstract

Elementary topological notions and results: simplicial & cell complexes, homotopy of maps, nerve theorem, Borsuk-Ulam-type theorems, connectivity, (deleted) joins & products, finite group actions and equivariant maps. Geometric & combinatorial applications: Ham-Sandwich & partition theorems, Kneser's conjecture, van Kampen-Flores-type theorems, topological & colored Tverberg theorem.

General Information

Language
English
Levels
BSC , DS , MSC
Frequency
Every two years

Examination

Type
end-of-semester examination
Mündliche Prüfung, 30 Minuten Dauer

Course Components

Type Title Time & Place Hours
lecture Topological methods in Combinatorics and Geometry
  • Thu 10:15-12:00 (CAB H 52)
2 h weekly
exercise Topological methods in Combinatorics and Geometry
  • Thu 13:15-14:00 (CAB G 57)
1 h weekly

Offered In