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401-2554-00L 6 Credits BSC D-MATH
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Topology

Lecturers & Examiners: Dr. Alessandro Carlotto
VVZ CR n/a

Last Updated: 2026-02-05 15:41:21

Abstract

Topics covered include: Topological and metric spaces, continuity, connectedness, compactness, product spaces, separation axioms, quotient spaces, homotopy, fundamental group, covering spaces.

Objective

An introduction to topology i.e. the domain of mathematics that studies how to define the notion of continuity on a mathematical structure, and how to use it to study and classify these structures.

Resources

Literature

We will follow these, freely available, standard references by Allen Hatcher: i) http://pi.math.cornell.edu/~hatcher/Top/TopNotes.pdf (for the part on General Topology) ii) http://pi.math.cornell.edu/~hatcher/AT/ATch1.pdf (for the part on basic Algebraic Topology). Additional references include: "Topology" by James Munkres (Pearson Modern Classics for Advanced Mathematics Series) "Counterexamples in Topology" by Lynn Arthur Steen, J. Arthur Seebach Jr. (Springer) "Algebraic Topology" by Edwin Spanier (Springer).

Learning Materials (Links)

General Information

Language
English
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 120 minutes
Aids
None.

Course Components

Type Title Time & Place Hours
lecture Topology
  • Mon 09:15-10:00 (HG F 3)
  • Wed 13:15-15:00 (HG F 3)
3 h weekly
exercise Topology
Groups are selected in myStudies.
  • Mon 10:15-12:00 (CAB G 59)
  • Mon 10:15-12:00 (CHN D 48)
  • Mon 10:15-12:00 (HG E 33.1)
  • Mon 10:15-12:00 (ML F 40)
  • Mon 10:15-12:00 (ML H 41.1)
  • Wed 08:15-10:00 (HG G 43)
2 h weekly

Offered In