Algebraic Topology II

Algebraic Topology II

Semester
SoSe 2024

Lecturer
Marc Hoyois

Type of course (Veranstaltungsart)
Vorlesung

German title
Algebraische Topologie II

Contents
This course is an introduction to the homotopy theory of topological spaces. We will study in particular higher homotopy groups of topological spaces, establishing the foundational theorems of Whitehead, Hurewicz and Blakers-Massey. We will also study classifying spaces via Brown's representability theorem, and introduce spectral sequences via the key example of the Serre spectral sequence of a fibration.

Literature
T. tom Dieck, Algebraic Topology.
H. Miller, Lectures on Algebraic Topology (https://math.mit.edu/~hrm/papers/lectures-905-906.pdf)

Recommended previous knowledge
The fundamental group and singular homology.

Time/Date
Tue/Thu 10-12

Location
M104

Additional question session
Time/Date: Fri 12-14
Location: M101

Course homepage
https://hoyois.app.uni-regensburg.de/SS24/algtop2/index.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration

Registration for course work/examination/ECTS: FlexNow

Course work (Studienleistungen)

Successful participation in the exercise classes: 50% of points in the exercises

Examination (Prüfungsleistungen)

Oral exam: Duration: 25 minutes, Date: by appointment, re-exam: Date: by appointment

Modules
BV, MV, MArGeo, MGAGeo

ECTS
9

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