Das Frühjahrssemester 2021 findet grundsätzlich online statt. Neue Präsenzelemente ab 26. April werden von den Dozierenden mitgeteilt.

401-3001-61L  Algebraic Topology I

SemesterHerbstsemester 2017
DozierendeW. Merry
Periodizitätjährlich wiederkehrende Veranstaltung

KurzbeschreibungThis is an introductory course in algebraic topology. Topics covered include: the fundamental group, covering spaces, singular homology, cell complexes and cellular homology and the Eilenberg-Steenrod axioms. Along the way we will introduce the basics of homological algebra and category theory.
SkriptI will produce full lecture notes, available on my website at

Literatur"Algebraic Topology" (CUP, 2002) by Hatcher is excellent and covers all the material from both Algebraic Topology I and Algebraic Topology II. You can also download it (legally!) for free from Hatcher's webpage:


Another classic book is Spanier's "Algebraic Topology" (Springer, 1963). This book is very dense and somewhat old-fashioned, but again covers everything you could possibly want to know on the subject.
Voraussetzungen / BesonderesYou should know the basics of point-set topology (topological spaces, and what it means for a topological space to be compact or connected, etc).

Some (very elementary) group theory and algebra will also be needed.