Tags » Borsuk-Ulam Theorem

Borsuk-Ulam theorem implies Brower

This is the paper of Su, appeared on American Mathematical Monthly, Number 9, Vol. 104, 1997.


Geometric Topology

The Kakeya conjecture and the Ham Sandwich theorem

One of my favourite family of conjectures (and one that has preoccupied a significant fraction of my own research) is the family of Kakeya conjectures… 2,288 more words


Lecture 6: Borsuk-Ulam and some combinatorial applications

Now we’ll move away from spectral methods, and into a few lectures on topological methods.  Today we’ll look at the Borsuk-Ulam theorem, and see a stunning application to combinatorics, given by… 1,341 more words