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Here are sample solutions to this year's exam.

Here are some recent exam problem sets and sample solutions, of similar format to what you may expect this year:

• Fall 2018: /studier/emner/matnat/math/MAT4500/h18/beskjeder/the-exam-problems.html
• Fall 2021: /studier/emner/matnat/math/MAT4500/h21/beskjeder/sample-solutions.html
• Fall 2023: /studier/emner/matnat/math/MAT4500/h23/beskjeder/final-exam-with-sample-solutions.html

The student representative this semester is Nikola Miroslav Golis, whom you can contact at nikolamg@uio.no .

The mandatory assignment is now available, in PDF and LaTeX formats.  Upload your solution using Canvas, before the deadline at 14:30 on Friday October 18th.  There will be last-chance support sessions Tuesday October 15th and Thursday October 17th.

Added October 23rd: My sample solutions to this problem set are now available.

This is the exam syllabus.  Dates (day/month) show when the material was first discussed.

• Section 1: Fundamental Concepts (20/8)
• Section 2: Functions (21/8)
• Section 3: Relations (up to Order Relations) (1/10)
• Section 5. Cartesian Products (21/8)
• Section 6: Finite Sets (21/8)
• Section 7: Countable and Uncountable Sets (18/9)
• Section 12: Topological Spaces (27/8)
• Section 13: Basis for a Topology (27/8)
• Section 15: The Product Topology on X x Y (3/9)
• Section 16: The Subspace Topology (3/9)
• Section 17: Closed Sets and Limit Points (4/9)
• Section 18: Continuous Functions (10/9)
• Section 19: The Product Topology (18/9)
• Section 20: The Metric Topology (24/9)
• Section 21: The Metric Topology (continued) (25/9)
• Section 22: The Quotient Topology (1/10)...

This is the fall 2024 semester page for the course MAT3500/MAT4500 - Topology.? We will use the textbook "Topology" (second edition) by James Munkres, supplemented by the lecture notes

• /studier/emner/matnat/math/MAT4500/h24/topology.pdf

which are based on chapters 1-5, 7 and 9 of that book.? Last updates:

• August 27: correction in Remark 2.1.14.
• October 7: Sections 3.1 and 3.2 assume that (path) connected spaces are nonempty.
• October 23: minor additions in Sections 3.3, 3.4 and 3.7.
• November 5: updated claim numbers in proof of Urysohn's lemma.

The topics to be outlined during the Tuesday and Wednesday lectures will be listed on the semester schedule

• /studier/emner/matnat/math/MAT4500/h24/timeplan/index.html

and the exercises ...