Algebraic Topology #88

Please read section 57 Tensor Products of Chain Complexes and 58 The Kunneth Theorem in Munkres' Elements Of Algebraic Topology and try exercises 57.3 and compute the (co)homology of torus using the Kunneth theorem.

In this meeting series, we're reading through Allen Hatcher's Algebraic Topology book.

https://pi.math.cornell.edu/~hatcher/AT/AT.pdf

There is a lecture series on Youtube from Pierre Albin using this book

https://www.youtube.com/playlist?list=PLpRLWqLFLVTCL15U6N3o35g4uhMSBVA2b

You may find NJ Wildberger's lecture series helpful too

https://www.youtube.com/playlist?list=PL6763F57A61FE6FE8

Gabriel Islambouli's lecture series

https://www.youtube.com/playlist?list=PLevbjS885lNS9Nk8ve13FE5tMdZejsTrE

MIT Lecture Notes on Algebraic Topology
https://www.ams.org/open-math-notes/omn-view-listing?listingId=110764

Computational Algebraic Topology (notes on Cohomology with video lectures)
https://people.maths.ox.ac.uk/nanda/cat/

Discord https://discord.gg/jMTs5gmVRj

Notes can be found at

https://github.com/boygao1992/bookCollection/blob/master/allen-hatcher_algebraic-topology/ch2.svgz

in Stylus Lab http://www.styluslabs.com/

format.

(Browser won't trigger "Save as" dialog when clicking Download button so you need to right click and "Save link as".)

If you've done any exercises or have organized talk on topics related to category theory, feel free to present during the meeting.