User Jason DeVito - on hiatus

436 votes

Examples of common false beliefs in mathematics

answered May 4, 2010 at 21:11

151 votes

Accepted

Homotopy groups of Lie groups

answered Dec 15, 2009 at 5:35

47 votes

Accepted

Classification of (compact) Lie groups

answered Nov 19, 2009 at 13:46

28 votes

Accepted

Some questions about scalar curvature

answered Jun 30, 2010 at 14:20

22 votes

Accepted

"No Small Subgroups" Argument

answered Aug 4, 2012 at 1:28

15 votes

Maps inducing zero on homotopy groups but are not null-homotopic

answered Apr 4, 2010 at 13:42

15 votes

Accepted

Is an inextensible manifold necessarily compact?

answered Nov 18, 2022 at 20:41

14 votes

Oriention-Reversing Diffeomorphisms of a Manifold

answered Apr 19, 2010 at 2:54

13 votes

What is the Cayley projective plane?

answered Nov 21, 2009 at 1:46

12 votes

Accepted

Lie Groups and Manifolds

answered Nov 13, 2009 at 2:25

12 votes

Explanation for E_8's torsion

answered Nov 13, 2009 at 2:58

12 votes

A Riemannian metric on $S^2 \times S^2$ of nonnegative curvature that is not a product

answered Aug 10, 2010 at 15:54

11 votes

Accepted

What is known about Lie groups with (strictly) positive curvature?

answered Nov 30, 2016 at 5:05

10 votes

Condition for two matrices to share at least one eigenvector?

answered Oct 10, 2013 at 1:04

10 votes

Classification problem for non-compact manifolds

answered Nov 15, 2009 at 18:40

9 votes

Smooth map homotopic to Lie group homomorphism

answered Jul 7, 2020 at 1:56

9 votes

A nontrivial principal bundle which satisfies Leray-Hirsch theorem

answered Jul 7, 2020 at 16:57

9 votes

Accepted

Cardinality of Equivalence Classes of Cauchy Sequences

answered Dec 8, 2009 at 15:42

9 votes

Is every group object in TopMan a Lie group?

answered Dec 13, 2009 at 21:01

8 votes

Invariant Vector Fields for Homogenous Spaces

answered Mar 21, 2010 at 20:22

8 votes

Accepted

Metrics of non-negative sectional curvature on $S^7$-bundles over $S^8$

answered Jan 13, 2021 at 14:10

8 votes

Fibrations of $SU(4)$

answered Dec 2, 2013 at 20:13

8 votes

When does a submersion have connected fibers?

answered Jun 24, 2010 at 4:25

7 votes

Accepted

Transitive action on the sphere

answered Apr 24, 2013 at 20:01

6 votes

Closed manifolds with the fixed point property

answered Mar 28, 2017 at 17:11

6 votes

Constant curvature manifolds

answered Apr 21, 2010 at 18:43

6 votes

Stiefel-Whitney Classes over Integers?

answered Feb 27, 2010 at 20:43

5 votes

Maximum symmetry metric on $ \mathbb{C}P^n $

answered Nov 25, 2022 at 17:10

5 votes

Accepted

Cut locus for simply connected manifolds

answered Mar 13, 2023 at 18:45

4 votes

Examples and properties of spaces with only trivial vector bundles

answered Mar 23, 2022 at 17:27

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47 Answers

Examples of common false beliefs in mathematics

Homotopy groups of Lie groups

Classification of (compact) Lie groups

Some questions about scalar curvature

"No Small Subgroups" Argument

Maps inducing zero on homotopy groups but are not null-homotopic

Is an inextensible manifold necessarily compact?

Oriention-Reversing Diffeomorphisms of a Manifold

What is the Cayley projective plane?

Lie Groups and Manifolds

Explanation for E_8's torsion

A Riemannian metric on $S^2 \times S^2$ of nonnegative curvature that is not a product

What is known about Lie groups with (strictly) positive curvature?

Condition for two matrices to share at least one eigenvector?

Classification problem for non-compact manifolds

Smooth map homotopic to Lie group homomorphism

A nontrivial principal bundle which satisfies Leray-Hirsch theorem

Cardinality of Equivalence Classes of Cauchy Sequences

Is every group object in TopMan a Lie group?

Invariant Vector Fields for Homogenous Spaces

Metrics of non-negative sectional curvature on $S^7$-bundles over $S^8$

Fibrations of $SU(4)$

When does a submersion have connected fibers?

Transitive action on the sphere

Closed manifolds with the fixed point property

Constant curvature manifolds

Stiefel-Whitney Classes over Integers?

Maximum symmetry metric on $ \mathbb{C}P^n $

Cut locus for simply connected manifolds

Examples and properties of spaces with only trivial vector bundles