Lecture 26 - Homology with coefficients

00:00 - Definition of Homology with coefficients
9:22 - Calculation of RPn groups with Z2 coefficients
28:36 - Detecting maps with Z2 coefficients
35:19 - Proof of Borsuk-Ulam Theorem

[sayanghosh]

At 21:46 could someone tell me why's that the case when we quotient out we get S^(i-1)\{a point}? Then S^(i-1)\{a point} would be homeomorphic to some Euclidean space. So I don't see the claim therefore if we restrict this composition to one of the hemispheres we get a homeomorphism! But if we get S^(i-1) instead of S^(i-1)\{a point} while quotienting out, things seem fair enough.

[futurehousescoutnation]

Hello I'm Gianluca a student of math from Rome, can I ask you if you can solve a problem about topology I couldn't solve on exam and he will ask me to resolve tomorrow ?

[mathematica]

Hello sir, I am working on Algebraic Topology, I need your help .
From where I should start.
Your small help will be very helpful for me