Paul Biran: Catalogue data in Autumn Semester 2020

Name Prof. Dr. Paul Biran
Professur für Mathematik
ETH Zürich, HG G 63.1
Rämistrasse 101
8092 Zürich
Telephone+41 44 632 64 50
RelationshipFull Professor

401-3001-61LAlgebraic Topology I Information 8 credits4GP. Biran
AbstractThis is an introductory course in algebraic topology, which is the study of algebraic invariants of topological spaces. Topics covered include:
singular homology, cell complexes and cellular homology, the Eilenberg-Steenrod axioms.
Literature1) G. Bredon, "Topology and geometry",
Graduate Texts in Mathematics, 139. Springer-Verlag, 1997.

2) A. Hatcher, "Algebraic topology",
Cambridge University Press, Cambridge, 2002.

Book can be downloaded for free at:

See also:

3) E. Spanier, "Algebraic topology", Springer-Verlag
Prerequisites / NoticeYou should know the basics of point-set topology.

Useful to have (though not absolutely necessary) basic knowledge of the fundamental group and covering spaces (at the level covered in the course "topology").

Some knowledge of differential geometry and differential topology is useful but not strictly necessary.

Some (elementary) group theory and algebra will also be needed.
401-5580-00LSymplectic Geometry Seminar Information 0 credits2KP. Biran, A. Cannas da Silva
AbstractResearch colloquium