Abstract
These informal notes, not intended for publication, provide an approach to the Borsuk--Ulam theorem via Stokes' theorem, in a similar spirit to Lima's proof of the Brouwer fixed point theorem. They are intended to be accessible to anyone with a knowledge of basic point-set topology and several variable calculus. Some of the argument relies upon previous ideas of Shchepin.
Original language | English |
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Publisher | ArXiv |
Number of pages | 8 |
Publication status | Published - 21 May 2012 |
Keywords / Materials (for Non-textual outputs)
- math.AT
- 55M20