401-2554-00L  Topology

SemesterSpring Semester 2020
LecturersA. Carlotto
Periodicityyearly recurring course
Language of instructionEnglish


401-2554-00 VTopology3 hrs
Mon09:15-10:00HG F 3 »
Wed13:15-15:00HG F 3 »
A. Carlotto
401-2554-00 UTopology
Groups are selected in myStudies.
2 hrs
Mon10:15-12:00CAB G 59 »
10:15-12:00CHN D 48 »
10:15-12:00HG E 33.1 »
10:15-12:00ML F 40 »
10:15-12:00ML H 41.1 »
Wed08:15-10:00HG G 43 »
A. Carlotto

Catalogue data

AbstractTopics covered include: Topological and metric spaces, continuity, connectedness, compactness, product spaces, separation axioms, quotient spaces, homotopy, fundamental group, covering spaces.
ObjectiveAn introduction to topology i.e. the domain of mathematics that studies how to define the notion of continuity on a mathematical structure, and how to use it to study and classify these structures.
LiteratureWe will follow these, freely available, standard references by Allen Hatcher:

i) http://pi.math.cornell.edu/~hatcher/Top/TopNotes.pdf

(for the part on General Topology)

ii) http://pi.math.cornell.edu/~hatcher/AT/ATch1.pdf

(for the part on basic Algebraic Topology).

Additional references include:

"Topology" by James Munkres (Pearson Modern Classics for Advanced Mathematics Series)

"Counterexamples in Topology" by Lynn Arthur Steen, J. Arthur Seebach Jr. (Springer)

"Algebraic Topology" by Edwin Spanier (Springer).
Prerequisites / NoticeThe content of the first-year courses in the Bachelor program in Mathematics. In particular, each student is expected to be familiar with notion of continuity for functions from/to Euclidean spaces, and with the content of the corresponding basic theorems (Bolzano, Weierstrass etc..). In addition, some degree of scientific maturity in writing rigorous proofs (and following them when presented in class) is absolutely essential.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block forBachelor's Degree Programme in Mathematics 2016; Version 25.02.2020 (Examination Block 2)
Bachelor's Programme in Mathematics 2010; Version 24.02.2016 (Examination Block 2)
ECTS credits6 credits
ExaminersA. Carlotto
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 120 minutes
Written aidsNone.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

Main linkVorlesungshomepage
Only public learning materials are listed.


401-2554-00 UTopology
Registration for groups in myStudies is possible until 17.03.2020.
Wed08:15-10:00HG G 43 »
Mon10:15-12:00CAB G 59 »
Mon10:15-12:00CHN D 48 »
Mon10:15-12:00HG E 33.1 »
Mon10:15-12:00ML F 40 »
Mon10:15-12:00ML H 41.1 »


GroupsRestrictions are listed under Groups

Offered in

Mathematics BachelorExamination Block IIOInformation