User Lennart Meier

147 votes

Examples of common false beliefs in mathematics

answered May 4, 2010 at 21:29

73 votes

Most intricate and most beautiful structures in mathematics

answered Dec 13, 2010 at 23:03

53 votes

Accepted

Spheres with the same homotopy groups

answered Feb 20, 2022 at 16:10

52 votes

Accepted

Compact open topology

answered May 10, 2013 at 20:26

51 votes

What is modern algebraic topology(homotopy theory) about?

answered Jan 14, 2016 at 12:31

50 votes

Has philosophy ever clarified mathematics?

answered Oct 2, 2014 at 0:59

43 votes

Which math paper maximizes the ratio (importance)/(length)?

answered Dec 1, 2009 at 19:48

40 votes

‘Naturally occurring’ $K(\pi, n)$ spaces, for $n \geq 2$

answered Oct 29, 2010 at 12:45

38 votes

Do we still need model categories?

answered Oct 21, 2011 at 12:37

38 votes

Why do we need model categories?

answered Nov 27, 2017 at 15:25

36 votes

What are Jacob Lurie's key insights?

answered Sep 6, 2010 at 10:28

36 votes

Most important results in 2022

answered Dec 2, 2022 at 10:34

35 votes

What non-categorical applications are there of homotopical algebra?

answered Jun 7, 2014 at 8:21

28 votes

Latest results in chromatic homotopy theory

answered May 4, 2020 at 16:49

27 votes

"Why the heck are the homotopy groups of the sphere so damn complicated?"

answered Apr 27, 2010 at 8:39

23 votes

Accepted

References and resources for (learning) chromatic homotopy theory and related areas

answered Feb 27, 2019 at 10:48

21 votes

New proofs to major theorems leading to new insights and results?

answered Feb 11, 2011 at 15:26

21 votes

What problem in pure mathematics required solution techniques from the widest range of math sub-disciplines?

answered Jun 12, 2017 at 8:18

20 votes

Examples of algorithms requiring deep mathematics to prove correctness

answered Jul 13, 2016 at 6:51

20 votes

Who was Hermann Künneth?

answered May 5, 2015 at 15:56

19 votes

Mathematical "urban legends"

answered Feb 4, 2011 at 21:04

18 votes

Accepted

Vanishing of higher homotopy groups of finite complexes

answered Oct 29, 2010 at 11:56

18 votes

de Rham cohomology and flat vector bundles

answered Nov 23, 2009 at 21:55

18 votes

What are some deep theorems, and why are they considered deep?

answered Aug 20, 2013 at 11:47

18 votes

Accepted

Does an H-space have at most one delooping?

answered Jan 16, 2019 at 9:03

17 votes

Accepted

Stable homotopy groups of complex projective plane

answered Apr 29, 2021 at 11:11

16 votes

Every mathematician has only a few tricks

answered Jul 10, 2020 at 15:55

16 votes

Do we still need models of spectra other than the $\infty$-category $\mathrm{Sp}$?

answered Feb 13, 2019 at 8:37

16 votes

Rediscovery of lost mathematics

answered Jul 23, 2014 at 11:48

16 votes

Accepted

Closed 3-manifolds with free abelian fundamental groups

answered Jul 14, 2010 at 21:23

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94 Answers

Examples of common false beliefs in mathematics

Most intricate and most beautiful structures in mathematics

Spheres with the same homotopy groups

Compact open topology

What is modern algebraic topology(homotopy theory) about?

Has philosophy ever clarified mathematics?

Which math paper maximizes the ratio (importance)/(length)?

‘Naturally occurring’ $K(\pi, n)$ spaces, for $n \geq 2$

Do we still need model categories?

Why do we need model categories?

What are Jacob Lurie's key insights?

Most important results in 2022

What non-categorical applications are there of homotopical algebra?

Latest results in chromatic homotopy theory

"Why the heck are the homotopy groups of the sphere so damn complicated?"

References and resources for (learning) chromatic homotopy theory and related areas

New proofs to major theorems leading to new insights and results?

What problem in pure mathematics required solution techniques from the widest range of math sub-disciplines?

Examples of algorithms requiring deep mathematics to prove correctness

Who was Hermann Künneth?

Mathematical "urban legends"

Vanishing of higher homotopy groups of finite complexes

de Rham cohomology and flat vector bundles

What are some deep theorems, and why are they considered deep?

Does an H-space have at most one delooping?

Stable homotopy groups of complex projective plane

Every mathematician has only a few tricks

Do we still need models of spectra other than the $\infty$-category $\mathrm{Sp}$?

Rediscovery of lost mathematics

Closed 3-manifolds with free abelian fundamental groups