VL: Topology, WS 13/14

Michael Joswig, Institut für Mathematik, TU Berlin.

Assistent: Benjamin Assarf

For further information, in particuler, exercises, see here.

Contents

The course will roughly follow Armstrong's book. Most of the first eight chapters will be covered:

• Introduction
• Continuity
• Compactness and connectedness
• Identification spaces
• The fundamental group
• Triangulations
• Surfaces
• Simplicial homology

Books on Topology

1. M.A. Armstrong: Basic topology, Springer, 1983.
2. J. Dugundji: Topology, Allyn and Bacon, 1966.
3. A. Hatcher: Algebraic topology, Cambridge, 2002.
4. E. Ossa: Topologie, Mathematik, Vieweg, 2. Auflage, 2009.

Every Compact Surface Admits a (Smooth) Triangulation

1. A. Hatcher: The Kirby torus trick for surfaces, arXiv:1312.3518.