Anubhav.K

India

I am mostly interested in study of low-dimensional TOPOLOGY. The "K" after my name means a lot to me. You can contact me if you wish @ ... [email protected]

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Does there exist any non-contractible manifold with fixed point property?

at.algebraic-topology gn.general-topology gt.geometric-topology differential-topology asked Oct 24, 2017 at 13:59

mathoverflow.net

24 votes

What can we say about the Cartesian product of a manifold with its exotic copy?

at.algebraic-topology gt.geometric-topology differential-topology sg.symplectic-geometry 4-manifolds asked Aug 22, 2018 at 14:46

mathoverflow.net

24 votes

In ancient times, how did people conclude that the shape of Earth is a sphere?

mathematics physics philosophy-of-science asked Mar 10, 2015 at 18:37

hsm.stackexchange.com

17 votes

Can an oriented closed $n(\geq 2)$-dimensional manifold be smoothly embedded in $\mathbb{R}^{2n-1}$?

at.algebraic-topology gt.geometric-topology gn.general-topology differential-topology asked Jan 1, 2016 at 16:19

mathoverflow.net

16 votes

Question about identifying pairs of edges of disjoint $2$ simplices

general-topology algebraic-topology simplex asked May 23, 2015 at 9:07

math.stackexchange.com

13 votes

Example of two exotic closed 4-manifolds s.t. SW(X)=0

dg.differential-geometry gt.geometric-topology sg.symplectic-geometry differential-topology 4-manifolds asked May 20, 2019 at 20:14

mathoverflow.net

12 votes

Is every vector bundle over a noncompact finite-dimensional manifold a summand of a trivial bundle?

at.algebraic-topology vector-bundles kt.k-theory-homology asked Oct 29, 2015 at 13:07

mathoverflow.net

10 votes

Is every metric space quasi-isometric to a graph?

graph-theory mg.metric-geometry geometric-group-theory asked Aug 13, 2015 at 13:05

mathoverflow.net

10 votes

Isotopy on embedded 3-manifolds in 4-manifolds

at.algebraic-topology gt.geometric-topology differential-topology 4-manifolds asked Nov 30, 2021 at 15:26

mathoverflow.net

9 votes

Does there exist a space $W$ s.t. $X\to W,\ Y\to W$ are covering spaces when $Z\to X,\ Z\to Y$ are covering spaces?

general-topology algebraic-topology covering-spaces asked Feb 1, 2015 at 14:57

math.stackexchange.com

Top Answers

connected manifolds are path connected

math.stackexchange.com

If $M$ and $N$ are closed and $M\times S^1$ is diffeomorphic to $N\times S^1$, is it true that $M$ and $N$ are diffeomorphic?

mathoverflow.net

Can a smooth domain in a sphere be a homology ball without being contractible?

mathoverflow.net

Examples of odd-dimensional manifolds that do not admit contact structure

mathoverflow.net

Constructing exotic $\mathbb{R}^4$'s using vector fields on $\mathbb{R}^5$

mathoverflow.net

Does $(S^1\times S^3)\#(S^1\times S^3)\#(S^2\times S^2)$ admit a symplectic form?

mathoverflow.net

Which 3-manifolds are known to admit exotic pairs of bounding 4-manifolds?

mathoverflow.net

Examples of odd dimensional rationally acyclic closed manifolds.

math.stackexchange.com

Is a gluing of homeomorphic Mazur manifolds diffeomorphic to $S^4$?

mathoverflow.net

Kirby calculus on Mazur manifolds

mathoverflow.net

Show that $\mathbb{R}^2$ can't be written as the union of disjoint topolocial circles

math.stackexchange.com

Homotopy connectedness

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homotopy groups of a pair and quotient

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Cover of the disk that behaves like a circle

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Closed orientable $n$-manifold $X$, there's a map $f: S^n \to X$ of nonzero degree, $n > 1$, is $\pi_1(X)$ finite?

math.stackexchange.com

Exotic smooth structure

mathoverflow.net

Universal covering space for non-semilocally simply connected spaces

mathoverflow.net

Two Dehn fillings yielding the same lens space?

mathoverflow.net

Proving fundamental group is commutative if its space is a group

math.stackexchange.com

Is torus w. disc removed homotopic to Klein bottle w. disc removed?

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Non contractible space with contractible suspension

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Is it possible that isomorphic $\pi_n$'s not induced by a map?

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Homology of closed, oriented surfaces of genus $2$ and $3$.

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$M$ orientable implies $H_{n-1}(M, \mathbb{Z})$ is free Abelian group.

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Is there a topological space which is simply connected but not local path connected

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Connectedness property of $R^2$

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Construct an explicit bijection $f:[0,1] \to (0,1]$, where $[0,1]$ is the closed interval in $\mathbb R$ and $(0,1]$ is half open.

math.stackexchange.com

Constructing a simply connected covering space

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Show that $K_1\cap K_2\cap \dots,K_N$ is compact

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Prove that there is no continuous surjection from $S_n$ to $R_n$

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