Degree theory and branched covers, Spring 2017


Teacher: Pekka Pankka

Scope: 5 cr

Type: Advanced studies.


Topics: Alexander-Spanier cohomology, local degree theory of proper mappings, and branched covers.

Prerequisites: Basic algebraic topology.



Teaching schedule

Tuesday 10:15-12:00, C321

Wednesday 12:15-14:00 C321



No exam. Completion of three mathematical learning diarys (aka. essays, 4-6 pages) is required for passing. Topics and the scope of the essays are individually decided together with the lecturer. The schedule for learning diarys is the following:

 Deadline for the topicDeadline for the diary
First learning diaryWed. March 22.Tue April 11.
Second learning diaryWed April 12.Tue April 25.
Third learning diaryWed April 26.Wed May 10.

Note that revision of learning diaries, according to instructors comments, is necessary 

Course material

Massey: Homology and cohomology theory, an approach based on Alexander-Spanier cochains.

Lecture notes are updated along the course. These are a revised version of the lecture notes from  2015.


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