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
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG J 56
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 30 16
E-mailmerry@math.ethz.ch
URLhttps://www.merry.io
DepartmentMathematics
RelationshipAssistant Professor

NumberTitleECTSHoursLecturers
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.
Objective
Lecture notesI will produce full lecture notes, available on my website at

www.merry.io/algebraic-topology
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:

www.math.cornell.edu/%7ehatcher/AT/ATpage.html

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.