MTH 427/527: Intro To Topology 1

Fall 2022

Instructor: Alexandru Chirvasitu

Lectures: Office: 216 Mathematics Building
Office hours: Thursdays, 11:00 - 13:00
Email: achirvas AT

TA: Bojun Zhao

Recitations: Office: 140 Mathematics Building
Office hours: Mondays, 10:00 - 11:00
Email: bojunzha AT


This is very much a proof-based course, so the assumption is that you have experience with mathematical proofs and you know how to read and write them. Homework and exam problems all ask you to prove various statements on your own. The main technical prerequisites are


We will work mostly based on lecture notes (typed up by a colleague of mine for a previous instance of this course), which I will make available. For additional material I recommend


I will post the reading assignments here.

You will have to do the reading before the listed due date.

Due date Assignment Remarks
week 1: 08/29-09/04 Tu 09/06
week 2: 09/05-09/11 Tu 09/13
week 3: 09/12-09/18 Tu 09/20
week 4: 09/19-09/25 Tu 09/27
week 5: 09/26-10/02 Tu 10/04 Review preceding material and have questions ready for the midterm. Tuesday's and Thursday's
Zoom notes
week 6: 10/03-10/09 Tu 10/11
week 7: 10/10-10/16 Tu 10/18
week 8: 10/17-10/23 Tu 10/25
week 9: 10/24-10/30 Tu 11/01
week 10: 10/31-11/06 Tu 11/08 Review preceding material and have questions ready for the midterm.
week 11: 11/07-11/13 Tu 11/15
week 12: 11/14-11/20 Tu 11/22

No classes the whole week of Nov 21

week 13: 11/28-12/04 Tu 12/06

Supplementary material

On occasion I'll post extra notes, comments, etc. in this space.


We exchange homework via UB Learns: I post the assignments there through the 'Assignments' facility provided by the system and you'll similarly be able to upload files.

Unless specified otherwise, the exercises are from the lecture notes, and numbered identically.

No late homework for any reason, but we are dropping the two lowest scores.

Due date Assignment Remarks
1 Fr 09/16, 11:59 PM
  • E2.1, E2.2, E2.4, E2.5, E2.6, E2.7, E2.8, E2.9
2 Fr 09/23, 11:59 PM
  • E3.1, E3.2, E3.4, E3.11, E3.13, E3.15
    E4.6, E4.8, E4.11
3 Fr 09/30, 11:59 PM
  • E5.1,E5.9, E5.10, E5.15
    E6.2, E6.4, E6.6, E6.7, E6.8
midterm 1 Fr 10/07, 11:59 PM
  • E7.3, E7.6, E7.11, E7.14, E7.15
    E8.1, E8.3, E8.9, E8.10
4 Fr 10/21, 11:59 PM
  • E9.1, E9.2, E9.3, E9.4, E9.6, E9.8, E9.10, E9.11
5 Fr 10/28, 11:59 PM
  • E10.1, E10.2, E10.3
    E11.1, E11.2, E11.3, E11.4, E11.6
6 Fr 11/04, 11:59 PM
  • E12.1, E12.2, E12.3, E12.6, E12.7
    E13.2, E13.3, E13.6
midterm 2 Fr 11/11, 11:59 PM
  • E14.1, E14.2, E14.4, E14.6, E14.7, E14.10
    E15.1, E15.3, E15.4
7 Fr 12/02, 11:59 PM
  • E16.1, E16.3, E16.5, E16.9, E16.10, E16.14, E16.16, E16.17
8 Fr 12/09, 11:59 PM
  • E18.2, E18.3, E18.4, E18.5, E18.9, E18.11, E18.14, E18.15
9 not collected or graded
  • E19.1, E19.2, E19.3, E19.4, E19.5, E19.7
treat it as final-exam preparation

The grader will assign each homework a grade out of 10 with only a few problems being graded (3 or 4 or so). There will also be points awarded for the overall completeness of the assignment. I won't be telling you in advance which problems are being graded though..

Do collaborate on the homework if you like, but write up your own solutions. I also strongly advise you to have a look at the UB Academic Integrity Policy, as it very much applies to this class.

And by all means drop by at office hours if you need a hand.


We're having two take-home midterms and one final. The dates are as follows

Exam policy:

Those are the due dates. I will post the problem lists a few days before, so you will have plenty of time to work on them.


We'll drop the two lowest homework scores.

Some links

If you have any questions, don't hesitate to email me.

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