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Sumanta
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27 votes
4 answers
2k views

Compactness of a metric space

13 votes
0 answers
849 views

Topologist's sine curve is a simply-connected space

13 votes
1 answer
466 views

Covering image of a connected CW-complex need not be a CW-complex.

10 votes
3 answers
933 views

Loch Ness monster and Jacob's Ladder Surfaces are NOT homeomorphic

9 votes
2 answers
518 views

$4$-manifold with fundamental group $\Bbb Z/4\Bbb Z$

8 votes
1 answer
242 views

Topological rigidity of some non-compact surfaces

7 votes
1 answer
552 views

Any two non-separating curves on a surface are equivalent

5 votes
1 answer
129 views

Covering $\Bbb RP^\text{odd}\longrightarrow X$, what can be said about $X$?

5 votes
1 answer
415 views

Showing fundamental group of a particular space is trivial.

5 votes
1 answer
1k views

A guide to Algebraic Geometry

5 votes
1 answer
206 views

Ergodic transformation on a atomless measure space

4 votes
1 answer
1k views

Construction of Moore Space

4 votes
1 answer
129 views

Almost all non-negative real numbers have only finitely many multiple lies in a measurable set with finite measure

4 votes
1 answer
572 views

Notion of degree of a map from an orientable manifold to non-orientable manifold

3 votes
2 answers
151 views

Measure on $\mathcal B(\Bbb R)$ having uniformly bounded central moments

3 votes
3 answers
1k views

No where vanishing exact $1$-form on compact manifold.

3 votes
2 answers
2k views

Continuous function as pointwise limit but not as uniform limit of a sequence of continuous functions on $[0,1]$

3 votes
0 answers
228 views

How do I prove this map is a covering Projection

3 votes
1 answer
516 views

Dimension of $m/m^2$ over $k$ where $m=m_P(V)$ and $V=V(x^2-y^3,y^2-z^3)$

2 votes
2 answers
358 views

$X^*$ with $weak^*$-topology is first category in itself when $X$ is infinite dimensional Fréchet space

2 votes
0 answers
102 views

Series representation and isolated singularity

2 votes
0 answers
101 views

Smooth structure on the graph of modulus function

2 votes
1 answer
298 views

Prime ideals of set of continuous real valued functions on a compact hausdorff space

2 votes
1 answer
1k views

Absolutely Flat Ring

2 votes
1 answer
421 views

Divergent and convergent series of positive terms

2 votes
0 answers
83 views

Smooth structure and vector bundle structure on $L_{alt}^k(TM)$

2 votes
3 answers
623 views

Non-constant holomorphic function on an annulus with constant modulus on boundary has at least two zeros on the annulus

2 votes
1 answer
529 views

Is $\frac{\bigcap_{k=1}^\infty M_k}{\bigcup_{k=1}^\infty N_k}$ a direct limit?

2 votes
0 answers
26 views

A question related to tensor product of $R$-modules

2 votes
1 answer
367 views

Three fold covering of $\Bbb RP^2\lor \Bbb S^1$.