User Sergey Melikhov

44 votes

Status of PL topology

answered May 5, 2012 at 18:59

27 votes

Accepted

Can surfaces be interestingly knotted in five-dimensional space?

answered Jan 20, 2011 at 22:56

23 votes

Accepted

A simplicial complex which is not collapsible, but whose barycentric subdivision is

answered Feb 6, 2012 at 14:09

22 votes

How to tackle the smooth Poincaré conjecture

answered May 22, 2012 at 4:58

22 votes

Accepted

How to "see" that double suspension of homology 3-sphere is homeomorphic to a sphere?

answered Jun 13, 2012 at 18:54

21 votes

Pushforward and pullback.

answered Dec 14, 2010 at 3:01

19 votes

Torsion in homology or fundamental group of subsets of Euclidean 3-space

answered Nov 13, 2010 at 23:43

19 votes

Accepted

Can the Alexander horned sphere arise as a cell boundary in a finite CW-sphere?

answered Jun 4, 2012 at 12:23

18 votes

Status of PL topology

answered May 9, 2012 at 3:58

16 votes

Well-pointed space which is not locally contractible

answered Feb 6, 2012 at 15:46

16 votes

Accepted

Reference on Geometric Topology

answered Apr 8, 2012 at 22:10

14 votes

When are two proofs of the same theorem really different proofs

answered Dec 5, 2010 at 2:35

14 votes

How should one think about pushforward in cohomology?

answered May 12, 2011 at 13:44

13 votes

What are the external triumphs of matroid theory?

answered May 4, 2011 at 21:51

13 votes

Is there a "knot theory" for graphs?

answered Oct 30, 2011 at 20:28

12 votes

Is PA consistent? do we know it?

answered Jun 5, 2011 at 3:07

12 votes

Accepted

is there any fibration $\mathbb{R}^n\to \mathbb{S}^n$?

answered Sep 24, 2011 at 1:02

12 votes

Accepted

Are there two non-homeomorphic finite regular CW complexes with isomorphic face posets?

answered Apr 16, 2011 at 21:24

12 votes

Accepted

Well-pointed space which is not locally contractible

answered Feb 16, 2012 at 13:44

12 votes

The role of ANR in modern topology

answered Mar 5, 2013 at 2:18

11 votes

Morse theory in TOP and PL categories?

answered May 14, 2012 at 17:05

11 votes

What is Realistic Mathematics?

answered Feb 19, 2011 at 14:35

10 votes

When factors may be cancelled in homeomorphic products?

answered Dec 8, 2010 at 18:09

10 votes

Accepted

A senseful meaning of 'approximation of manifolds'?

answered Dec 13, 2010 at 21:12

10 votes

Brown representability beyond CW complexes

answered Nov 27, 2010 at 22:16

10 votes

Accepted

Representing rational homology by manifolds

answered Oct 26, 2011 at 2:54

9 votes

Accepted

Singular fibers of generic smooth maps of negative codimension

answered Apr 30, 2012 at 18:07

9 votes

Accepted

Category of Uniform spaces

answered May 4, 2012 at 8:28

9 votes

What part of the fundamental group is captured by the second homology group?

answered Aug 15, 2011 at 21:53

8 votes

What is a continuous path?

answered Nov 13, 2011 at 1:12

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61 Answers

Status of PL topology

Can surfaces be interestingly knotted in five-dimensional space?

A simplicial complex which is not collapsible, but whose barycentric subdivision is

How to tackle the smooth Poincaré conjecture

How to "see" that double suspension of homology 3-sphere is homeomorphic to a sphere?

Pushforward and pullback.

Torsion in homology or fundamental group of subsets of Euclidean 3-space

Can the Alexander horned sphere arise as a cell boundary in a finite CW-sphere?

Status of PL topology

Well-pointed space which is not locally contractible

Reference on Geometric Topology

When are two proofs of the same theorem really different proofs

How should one think about pushforward in cohomology?

What are the external triumphs of matroid theory?

Is there a "knot theory" for graphs?

Is PA consistent? do we know it?

is there any fibration $\mathbb{R}^n\to \mathbb{S}^n$?

Are there two non-homeomorphic finite regular CW complexes with isomorphic face posets?

Well-pointed space which is not locally contractible

The role of ANR in modern topology

Morse theory in TOP and PL categories?

What is Realistic Mathematics?

When factors may be cancelled in homeomorphic products?

A senseful meaning of 'approximation of manifolds'?

Brown representability beyond CW complexes

Representing rational homology by manifolds

Singular fibers of generic smooth maps of negative codimension

Category of Uniform spaces

What part of the fundamental group is captured by the second homology group?

What is a continuous path?