Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-40-16-K-6

Algebraic Topology (4V+2U, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U)
4 V Lecture 6.0 CP 56 h 124 h
2 U Exercise class (in small groups) 3.0 CP 28 h 62 h
(4V+2U) 9.0 CP 84 h 186 h

Basedata

SWS 4V+2U
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [6] Master (General)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Possible Study achievement

  • Verification of study performance: proof of successful participation in the exercise classes (ungraded)
  • Examination number (Study achievement): 84016 ("Exercise Class Algebraic Topology")
  • Details of the examination (type, duration, criteria) will be announced at the beginning of the course.

Contents

  • Singular and simplicial homology,
  • computation of homology groups,
  • cohomology,
  • cup and cap product,
  • Künneth formula,
  • Poincaré duality.

Literature

  • M.A. Armstrong: Basic Topology,
  • A. Hatcher: Algebraic Topology,
  • W.S. Massey: A Basic Course in Algebraic Topology.

Materials

Further literature will be announced in the lecture; Exercise material is provided.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de)

References to Course [MAT-40-16-K-6]

Module Name Context
[MAT-40-16-M-6] Algebraic Topology P: Obligatory 4V+2U, 9.0 LP
Course-Pool Name
[MAT-40-4V-KPOOL-4] Elective Courses Algebra, Geometry and Computeralgebra (4V, B.Sc.)