Topologie I, Sommersemester 2018

Inhaltsbeschreibung / course description and syllabus

Update: The course will be taught in English.

Ankündigungen / Announcements

  • 13.10.2018: Klausureinsicht for last Friday's exam will be on Monday (15.10) from 14:00 to 15:00 in my office (1.301 in RUD25). If you would like to see your graded exam but cannot make it during that time, feel free to e-mail me for an appointment.
  • 10.10.2018: I previously gave slightly incorrect information on this page about the time of the exam (zweiter Versuch) on October 12: it is at 10:00 (not 9:00). The information on the Prüfungsangelegenheiten page is correct.
  • 2.08.2018: Klausureinsicht for last Monday's exam will be Thursday from 13:00 to 14:00 in my office (1.301 in RUD25). If you would like to see your graded exam but cannot make it during that time, feel free to e-mail me for an appointment (be aware however that I will be away from August 3 to 8, and again after August 14).
  • 6.07.2018: The final exam (Klausur) for this course is scheduled for July 30 at 9am, with a resit (i.e. zweiter Versuch) option on October 12 at 10am. To take the exam, you must register with the Prüfungsbüro at least 14 days ahead of time, which in our case (for the first exam date) means July 16. (All the necessary details are publicized on the HU math department's Prüfungsangelegenheiten page.) To give you an idea of what to expect, here is the exam from last October. The format this year will be the same, though some of the problems on that exam would not be suitable this year, e.g. Problem 2 involves the mapping degree and Problem 5(b) involves cellular homology, neither of which we have covered (though simplicial homology might be fair game, which it was not last year). Problem 6 may look unfamiliar to you as of now, but it involves topics that we definitely will cover in the final week of classes and they are fair game.
  • 13.06.2018: As mentioned yesterday in the Übung, there were some minor errors in Lecture 10 concerning the definition of "deformation retraction" and its relationship to the notion of homotopy equivalence. These have now been corrected in the notes (the revisions are marked in red).
  • 24.05.2018: Written solutions to the last two problems on Problem Set 4 are now posted below. For the second week in a row, a question from students (this time in the Übung) led to the gradual realization that I had said something that is wrong, and unfortunately what was wrong this time was the statement of one of the problems to be graded (6(b)---it is not true without assuming the space is Hausdorff). In the interest of fairness, everyone who handed in something will receive full credit on that problem.
  • 12.05.2018: There were small errors in the definitions of axioms T3 and T4 in Tuesday's lecture. They have been corrected in the lecture notes, but the answer to Problem 7(c) on this week's problem set may depend on these details, so correct answers conforming to either set of definitions (from the lecture or the notes) will be accepted. There were also some errors in the discussion of connected components in Friday's lecture, which have also been corrected in the lecture notes. Look out for red text in the notes where the corrections have been flagged.
  • 23.04.2018: The following minor changes take effect as of this week: (1) The Friday lectures are moving to room 1.013 (directly underneath where we met in the first week). (2) My office hour is now Thursdays 14:00-15:00 instead of Wednesdays. These details have been updated in the downloadable course information sheet at the top of this page.
previous announcements (no longer relevant)

lecture notes
Update 10.04.2021: I have redirected the link above to point to the lecture notes from my Winter Semester 2018-19 Topologie II course, which also include a revised version of the notes I wrote for this course.

Übungsblätter / Problem sets

The grader for this course is Johannes Hauber; you can contact him at hauberjq at hu dash berlin dot de if you have questions about your graded homework.
Somebody miscalculated the fundamental group. (Hermannplatz, 8.06.2017)
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