User Ryan Budney

89 votes

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Can every manifold be given an analytic structure?

answered Dec 13, 2009 at 20:03

77 votes

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Geometric interpretation of characteristic polynomial

answered Jul 27, 2010 at 7:21

65 votes

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The view from inside of a mirrored tetrahedron

answered Nov 21, 2014 at 1:37

60 votes

Depressed graduate student.

answered Jan 2, 2010 at 0:38

53 votes

Theoretical physics: Why not just $\mathbb{R}^4$?

answered Jul 5, 2010 at 20:43

51 votes

The half-life of a theorem, or Arnold's principle at work

answered May 26, 2011 at 17:36

51 votes

Intuition behind Thom class

answered Sep 23, 2012 at 1:21

43 votes

Which mathematical ideas have done most to change history?

answered Feb 1, 2010 at 15:11

41 votes

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What manifolds are bounded by RP^odd?

answered Dec 14, 2009 at 3:00

40 votes

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What are "good" examples of spin manifolds?

answered Nov 4, 2011 at 22:15

39 votes

Your favorite surprising connections in mathematics

answered Feb 8, 2010 at 5:50

38 votes

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Why should I prefer bundles to (surjective) submersions?

answered Mar 11, 2010 at 6:00

38 votes

What are the most misleading alternate definitions in taught mathematics?

answered Dec 2, 2009 at 16:25

34 votes

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Homotopy Groups of Connected Sums

answered Apr 6, 2012 at 7:15

29 votes

Classification problem for non-compact manifolds

answered Nov 5, 2009 at 0:01

29 votes

Why is it useful to classify the vector bundles of a space?

answered Feb 24, 2010 at 8:10

29 votes

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Smooth homotopy theory

answered Aug 11, 2010 at 7:42

28 votes

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Can we decompose Diff(MxN)?

answered Mar 13, 2010 at 6:33

28 votes

What are the open subsets of $\mathbb{R}^n$ that are diffeomorphic to $\mathbb{R}^n$

answered Nov 7, 2009 at 0:43

28 votes

Square roots of $\mathbb R^{2n}$

answered Apr 3, 2011 at 0:06

26 votes

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Strong Whitney embedding theorem for non-compact manifolds

answered May 24, 2013 at 10:24

25 votes

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Unstable homotopy groups of spheres beyond Toda's range

answered Dec 18, 2014 at 2:11

25 votes

Is the universal covering of an open subset of $\mathbb{R}^n$ diffeomorphic to an open subset of $\mathbb{R}^n$ ?

answered May 12, 2011 at 0:39

25 votes

Classification of homology 3-spheres?

answered Nov 10, 2009 at 1:28

24 votes

Examples of non-diffeomorphic smooth manifolds with diffeomorphic tangent bundle

answered Jul 13, 2010 at 12:22

24 votes

Is it possible to improve the Whitney embedding theorem?

answered Mar 6, 2011 at 20:56

22 votes

Are there any very hard unknots?

answered Jan 27, 2011 at 16:09

22 votes

How to see isometries of figure 8 knot complement

answered Nov 18, 2011 at 23:56

22 votes

Why are operads useful?

answered Aug 9, 2011 at 19:15

22 votes

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What manifolds are boundaries of euclidian spaces ?

answered Feb 21, 2013 at 19:33

Stack Exchange Network

446 Answers

Can every manifold be given an analytic structure?

Geometric interpretation of characteristic polynomial

The view from inside of a mirrored tetrahedron

Depressed graduate student.

Theoretical physics: Why not just $\mathbb{R}^4$?

The half-life of a theorem, or Arnold's principle at work

Intuition behind Thom class

Which mathematical ideas have done most to change history?

What manifolds are bounded by RP^odd?

What are "good" examples of spin manifolds?

Your favorite surprising connections in mathematics

Why should I prefer bundles to (surjective) submersions?

What are the most misleading alternate definitions in taught mathematics?

Homotopy Groups of Connected Sums

Classification problem for non-compact manifolds

Why is it useful to classify the vector bundles of a space?

Smooth homotopy theory

Can we decompose Diff(MxN)?

What are the open subsets of $\mathbb{R}^n$ that are diffeomorphic to $\mathbb{R}^n$

Square roots of $\mathbb R^{2n}$

Strong Whitney embedding theorem for non-compact manifolds

Unstable homotopy groups of spheres beyond Toda's range

Is the universal covering of an open subset of $\mathbb{R}^n$ diffeomorphic to an open subset of $\mathbb{R}^n$ ?

Classification of homology 3-spheres?

Examples of non-diffeomorphic smooth manifolds with diffeomorphic tangent bundle

Is it possible to improve the Whitney embedding theorem?

Are there any very hard unknots?

How to see isometries of figure 8 knot complement

Why are operads useful?

What manifolds are boundaries of euclidian spaces ?