57

Questions

33
50
votes
5
answers
3k
views

Is there a sheaf theoretical characterization of a differentiable manifold?

feb 16 12 at 13:31 Johannes Ebert 11.6k3356

26
46
votes
6
answers
11k
views

What are Jacob Lurie’s key insights?

oct 3 10 at 22:55 Mike Shulman 17.4k2172

51
43
votes
3
answers
4k
views

Intuitive explanation for the Atiyah-Singer index theorem

may 13 10 at 5:46 Dev Sinha 2,4701020

14
34
votes
14
answers
3k
views

What is the high-concept explanation on why real numbers are useful in number theory?

apr 24 11 at 7:36 MathOverflow 123

12
30
votes
3
answers
1k
views

What is the source of this famous Grothendieck quote?

1d ago YBL 4,12611428

15
28
votes
7
answers
2k
views

What part of the fundamental group is captured by the second homology group?

jul 23 at 10:33 Ronnie Brown 5,4861921

16
26
votes
3
answers
2k
views

How much linear algebra can be done with graphs?

jun 30 11 at 3:58 Gjergji Zaimi 37.8k275151

15
24
votes
11
answers
2k
views

Compelling evidence that two basepoints are better than one

apr 22 at 1:10 John Klein 7,2561928

10
24
votes
4
answers
1k
views

Extending a diffeomorphism of S^2 to D^3

feb 25 at 16:46 Tom Goodwillie 27k262111

18
23
votes
10
answers
2k
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Are infinite dimensional constructions needed to prove finite dimensional results?

feb 27 11 at 23:33 ACL 4,2851224

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