The spring semester 2021 will take place online until further notice. Exceptions: Courses that can only be carried out with on-site presence. Please note the information provided by the lecturers.

Will Merry: Catalogue data in Autumn Semester 2017

Name Prof. Dr. Will Merry
Professur für Mathematik
ETH Zürich, HG J 56
Rämistrasse 101
8092 Zürich
Telephone+41 44 632 30 16
RelationshipAssistant Professor

401-3001-61LAlgebraic Topology I Information 8 credits4GW. Merry
AbstractThis 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.
Lecture notesI will produce full lecture notes, available on my website at
Literature"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.
Prerequisites / NoticeYou 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.