Timeline for Solving algebraic problems with topology
Current License: CC BY-SA 3.0
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| Oct 21, 2015 at 11:14 | comment | added | Sebastian Goette | The Brouwer fixpoin theorem can also be used to prove Nash's theorem about equilibria in game theory. Unfortunately, this is not an algebraic statement. However, if you talk about this to high school students or undergraduates, and you go all the way through combinatorics and elementary probability to state the problem, it is usually a surprise that the proof comes from topology. | |
| Jun 6, 2015 at 9:34 | comment | added | HJRW | And, more generally, the entire Perron--Frobenius theorem can be deduced from Banach's contraction mapping theorem, using the Hilbert metric on the positive orthant. | |
| Jun 2, 2015 at 3:38 | history | edited | Fernando Martin | CC BY-SA 3.0 |
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| S Jun 2, 2015 at 3:12 | history | answered | Fernando Martin | CC BY-SA 3.0 | |
| S Jun 2, 2015 at 3:12 | history | made wiki | Post Made Community Wiki by Fernando Martin |