User Kyle

24 votes

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Path-connected and locally connected space that is not locally path-connected

answered Jun 22, 2014 at 7:03

22 votes

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Can Somebody Please Outline a Reading Course For Me in Algebraic Topology

answered Jun 16, 2015 at 16:08

15 votes

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How to know if a tangent bundle is trivial from its defining equations

answered Jul 22, 2014 at 18:39

14 votes

How does Morse theory on non-compact manifolds differ from compact manifolds?

answered Jun 5, 2015 at 14:59

11 votes

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Why a torus knot is a prime knot?

answered Jun 12, 2014 at 15:36

10 votes

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Complement of the Solid Torus in $S^3$ is Again a Solid Torus

answered Jan 21, 2016 at 18:37

9 votes

$f^2+(1+f')^2\leq 1 \implies f=0$

answered Jun 12, 2014 at 18:59

9 votes

Why would one care about Fibre Bundles

answered Apr 18, 2015 at 15:03

8 votes

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Torsion-free but not free

answered Jun 18, 2014 at 11:31

8 votes

Question on the symmetric product $\mathrm{Sym}^g\Sigma$

answered Mar 6, 2015 at 21:58

8 votes

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Why the lens space L(2,1) is homeomorphic to $\mathbb{R}P^3$?

answered Jun 11, 2015 at 4:21

7 votes

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Generalization of Inverse Function Theorem to noncompact submanifolds

answered Aug 31, 2015 at 20:41

7 votes

Which two knots are isotopic but not ambient isotopic?

answered Jun 23, 2015 at 14:53

7 votes

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How to prove that a left-invariant metric on a Lie group is smooth?

answered Jun 16, 2015 at 0:38

7 votes

Degree of a map $S^0 \to S^0$

answered Dec 20, 2014 at 5:04

6 votes

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Can a trefoil knot be stretched to look like a triangle with three knots at the vertices?

answered Apr 30, 2015 at 14:59

6 votes

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The fundamental group of $S^n$

answered May 28, 2015 at 13:18

6 votes

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Fundamental group of torus by van Kampens theorem

answered Jun 9, 2014 at 4:00

6 votes

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The Geodesics of a Sphere.

answered Jun 16, 2014 at 15:34

6 votes

Existence of a vector field with one singularity on a surface

answered Sep 29, 2015 at 2:07

5 votes

Bijective local isometry to global isometry

answered Sep 6, 2015 at 5:59

5 votes

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Homology of sphere-complements

answered Jan 4, 2016 at 22:21

5 votes

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Fundamental group of complement of circle with a line passing through it.

answered Aug 14, 2014 at 18:34

5 votes

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Alexander polynomial of unknot without Fox calculus or infinite cyclic cover

answered Jun 3, 2015 at 14:27

5 votes

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Is a compact, simply-connected 3-manifold necessarily $S^3$ with $B^3$'s removed?

answered Jun 3, 2015 at 16:32

5 votes

Smooth homotopy

answered Nov 19, 2014 at 0:36

4 votes

Independence of $H(f)=\int_M \alpha \wedge f^* \beta$ on choice of $d\alpha=f^*\beta$?

answered Dec 17, 2015 at 5:37

4 votes

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How is this example not a homeomorphism?

answered May 20, 2015 at 19:54

4 votes

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Is $GL_2(\mathbb Z)\cdot X$ a dense subset of $\mathbb R^2$?

answered Jul 3, 2014 at 17:46

4 votes

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Is there a self-homeomorphism of the 2-sphere with exactly 3 fixed points?

answered Jul 14, 2014 at 18:17

Stack Exchange Network

95 Answers

Path-connected and locally connected space that is not locally path-connected

Can Somebody Please Outline a Reading Course For Me in Algebraic Topology

How to know if a tangent bundle is trivial from its defining equations

How does Morse theory on non-compact manifolds differ from compact manifolds?

Why a torus knot is a prime knot?

Complement of the Solid Torus in $S^3$ is Again a Solid Torus

$f^2+(1+f')^2\leq 1 \implies f=0$

Why would one care about Fibre Bundles

Torsion-free but not free

Question on the symmetric product $\mathrm{Sym}^g\Sigma$

Why the lens space L(2,1) is homeomorphic to $\mathbb{R}P^3$?

Generalization of Inverse Function Theorem to noncompact submanifolds

Which two knots are isotopic but not ambient isotopic?

How to prove that a left-invariant metric on a Lie group is smooth?

Degree of a map $S^0 \to S^0$

Can a trefoil knot be stretched to look like a triangle with three knots at the vertices?

The fundamental group of $S^n$

Fundamental group of torus by van Kampens theorem

The Geodesics of a Sphere.

Existence of a vector field with one singularity on a surface

Bijective local isometry to global isometry

Homology of sphere-complements

Fundamental group of complement of circle with a line passing through it.

Alexander polynomial of unknot without Fox calculus or infinite cyclic cover

Is a compact, simply-connected 3-manifold necessarily $S^3$ with $B^3$'s removed?

Smooth homotopy

Independence of $H(f)=\int_M \alpha \wedge f^* \beta$ on choice of $d\alpha=f^*\beta$?

How is this example not a homeomorphism?

Is $GL_2(\mathbb Z)\cdot X$ a dense subset of $\mathbb R^2$?

Is there a self-homeomorphism of the 2-sphere with exactly 3 fixed points?