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Here are sample solutions to the December 8th 2021 exam, and here are sample solutions to the January 14th 2022 resit/postponed exam.

As a result of the infection situation and changes in national and regional advice and rules, the University Director has decided to temporarily allow self-declaration in the event of absence from examinations with physical attendance. The decision applies from 03.12.2021 to 01.02.2022. For exams that require physical attendance at UiO, it will not be necessary to submit documentation of the absence. This applies to all school exams in Silurveien, as well as oral and written exams that require physical attendance on campus. You must apply for valid absence in the usual way using the online form, but for exams with physical attendance, you do not need to attach documentation. See UiO's website "Illness at exams/postponed exams" for more information: htt...

As a sample of the approximate format of the examination problem set, you may look at the one from 2016.

/studier/emner/matnat/math/MAT4500/oppgaver/MAT3500-4500_2016.pdf

For Problem 4, assume that Y is T_1, i.e., has closed points.  (I suspect that this was intended, but am not sure that it is necessary.)

For Problem 5 you will need to know that the n-sphere S^n is simply-connected for n>1, which we have not proved this year.

For the written examination you are expected to have studied the following sections of Munkres' "Topology".  This list is now final.

• Section 1: Fundamental Concepts
• Section 2: Functions
• Section 3: Relations
• Section 4: The Integers and the Real Numbers
• Section 5: Cartesian Products
• Section 6: Finite Sets
• Section 7: Countable and Uncountable Sets
• Section 12: Topological Spaces
• Section 13: Basis for a Topology
• Section 15: The Product Topology on X x Y
• Section 16: The Subspace Topology
• Section 17: Closed Sets and Limit Points
• Section 18: Continuous Functions
• Section 19: The Product Topology [omit the box topology]
• Section 20: The Metric Topology
• Section 21: The Metric Topology (continued)
• Section 22: The Quoti...

The mandatory assignment is now available.  Submit your answer using Canvas, by October 21st at 14.30.

The final submission deadline has now passed.  Here are my sample solutions to this assignment.

Ludvik Bj?rklund <ludvikbj@math.uio.no> is the student representative this semester.  We cooperate on a course evaluation, using the nettskjema service at UiO.

Here is a summary of the responses made by Thursday October 7th.

Here are my MAT3500/4500 Topology notes from 2010 and 2018, which also correspond to the curriculum for 2021. Here are my very rough current notes, which match the present lectures a little more closely. I have compiled a list of common terms, with their Norwegian equivalents, which may be useful.

Please see the course schedule for the topics planned for the lectures (Tuesdays 10-12 and Thursdays 12-14), and the exercises assigned for the practice sessions (Tuesdays 14-16).