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Results tagged with ho.history-overview
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user 18263
History and philosophy of mathematics, biographies of mathematicians, mathematics education, recreational mathematics, communication of mathematics.
38
votes
What are some deep theorems, and why are they considered deep?
As a very concrete example of a deep theorem different from the ones you've already mentioned, I'd nominate the Atiyah-Singer Index theorem and its more general cousins for consideration in your talk. …
- 15.5k
15
votes
Accepted
Discrete Morse theory and chess
The quick answer to your question is no, discrete Morse theory has not been used to study chess moves yet (unless this has been done in some very obscure journal). I would like to highlight a few like …
- 15.5k
17
votes
1
answer
1k
views
Raoul Bott's quote on Morse Theory cited by Bestvina and Kahle: where is it from?
I wanted to properly cite the following awesome quote:
Every mathematician has a secret weapon. Mine is Morse theory. - Raoul Bott
Now this has been attributed to Bott in precisely two places th …
- 15.5k
7
votes
Accepted
Raoul Bott's quote on Morse Theory cited by Bestvina and Kahle: where is it from?
Here is Mladen's response to my email asking this question:
I heard him say it in a colloquium talk in 2001 (I think).
Case closed, unless Bob MacPherson has a different answer.
- 15.5k
22
votes
0
answers
3k
views
Origins of the Nerve Theorem
Recently, I've read two papers which have cited the Nerve Theorem, one crediting Borsuk with the result and another Leray. Here is the question:
Who was the first to prove the Nerve Theorem?
- 24.7k