Fall 2026
Topology (MATS214)
Course materials:
Lecture notes (updated on 13.11.2026)
Exercises: Exercise Sheet 1 (w/ sol) , Exercise Sheet 2 (w/ sol), Exercise Sheet 3
Topics covered in each lecture:
-Lecture 1 (28.10.2026): introduction, definition of topological space, examples of topological spaces.
-Lecture 2 (29.10.2026): topology generated by a family of sets, basis for a topology.
-Lecture 3 (04.11.2026): subbasis; interior, closure, boundary, accumulation/isolated points.
-Lecture 4 (05.11.2026): neighbourhoods, neighbourhood basis; partially ordered sets, lattices.
-Lecture 5 (11.11.2026): lattice of topologies; continuity, continuity at a point.
-Lecture 6 (12.11.2026): homeomorphisms, convergent sequences, sequential continuity.