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401-3001-61L  Algebraic Topology I

SemesterAutumn Semester 2017
LecturersW. Merry
Periodicityyearly recurring course
Language of instructionEnglish

Catalogue data

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.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits8 credits
ExaminersW. Merry
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 180 minutes
Written aidsNone
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

Main linkAlgebraic Topology
Only public learning materials are listed.


401-3001-61 GAlgebraic Topology I4 hrs
Wed10-12HG D 3.2 »
Fri13-15HG D 3.2 »
W. Merry


No information on groups available.


There are no additional restrictions for the registration.

Offered in

Doctoral Department of MathematicsGraduate SchoolWInformation
Mathematics BachelorCore Courses: Pure MathematicsWInformation
Mathematics MasterCore Courses: Pure MathematicsWInformation