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19215101 Aufbaumodul: Topologie III

Summer Term 2020

lecture by Prof. Dr. Holger Reich, exercises joint with Dr. Gabriel Angelini-Knoll

>>> Please note that the start of the Summer Term has been postponed one week. <<<

  • Time and place: Tuesdays, 10-12h, online,
                                 Thursdays, 10-12, online,
         during the first half of the semester.

  • Exercise Session: Thursday, 14-16h, online.

There will be 4 hours of lecture during the first half of the semester. During the second half of the semester this lecture will be naturally continued by the course Homotopy Theory, which also will be taught with 4 weekly hours.

Course Overview

This lecture will continue the introduction to algebraic topology. The emphasis will be on homotopy theory: homotopy sets and groups, Puppe sequences, cofibrations and fibrations, the theorem of Blakers-Massey, colimits and limits, the theorem of Hurewicz, introduction to spectral sequences, ...


To receive credits for the course you need to

  • actively participate in the exercise session 
  • work on and successfully solve the weekly exercises 
  • pass the final exam

If you are an FU student you only need to register for the course via CM (Campus Management), this will automatically register you for the final exam.  If you do not show up for the exam, this will count as failing it. Up to a specific deadline you may de-register from the course via CM without specifying any particular reasons. If you wish to de-register from the exam after the deadline, you should do so by contacting the exams office (Prüfungsbüro). 

If you are not an FU student, you are required to register via KVV/Whiteboard. If you have any problems accessing it, please email G. Angelini-Knoll.


Problem sets will be put online every Thursday and can be found under Assignements in the KVV/Whiteboard portal. Solutions are due by 10 am on Thursday of the following week  –  solutions must be uploaded through the KVV/Whiteboard portal.


Tammo tom Dieck: Algebraic Topology. EMS textbooks. 2008. Available at the FU-library.