MAT4540 - Algebraic Topology II

Messages

Mandatory assignment graded

By Achim Krause

Published Nov. 8, 2024 3:49 PM

Dear all,

I have graded all your submissions for the mandatory assignment, and you can find results in Canvas.

Best

Achim

No lectures 14.10. and 16.10.

By Achim Krause

Published Oct. 9, 2024 7:13 PM

Due to a conference I will not be in Oslo next week. We will resume lectures Monday 21.10.

Mandatory assignment

By Achim Krause

Published Oct. 4, 2024 2:27 PM

Dear all,

the mandatory assignment should now be visible in Canvas (https://uio.instructure.com/courses/52837). You can also find the exercises here. Please submit your solutions as a pdf file via Canvas. The deadline is 31.10.

Feel free to reach out if you have difficulties accessing the exercises or anything is unclear.

Student representative

By Achim Krause

Published Aug. 29, 2024 10:04 AM

Dear all,

The student representative for this course is Iris van Ramshorst, email alwinv@math.uio.no

Best,

Achim

Plan & literature

By Achim Krause

Published Aug. 7, 2024 11:43 AM

We will follow chapters 3 and 4 of Hatcher's Algebraic Topology (available online).

Following chapter 3, we will cover singular cohomology. Cohomology is dual to homology, but enjoys additional structure, the so-called cup product. We will use this opportunity to discuss universal coefficient- and Künneth theorems, and then proceed with Poincaré duality.

Following parts of chapter 4, we will then discuss some aspects of homotopy theory.

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