Question

Null homotopic map from $X$ to $Y$

score 402 · Answer 1 · 2026-04-11 18:32:50

402

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Null homotopic map from $X$ to $Y$

Published on 11 Apr 2026 - 18:32

score 4.7k · Answer 2 · 2026-04-16 23:49:21

4.7k

Views

Why closed implies sequentially closed but not the converse?

Published on 16 Apr 2026 - 23:49

score 52 · Answer 3 · 2026-04-14 16:43:09

52

Views

A function converges if and only if it can be extended to a continuous map

Published on 14 Apr 2026 - 16:43

score 56 · Answer 4 · 2026-04-16 04:51:49

56

Views

Proving $\mathbb{T=\{R^2,\varnothing\}}\cup\{G_k,k\in\mathbb{Q}\}$ is not a topology.

Published on 16 Apr 2026 - 4:51

score 537 · Answer 5 · 2026-04-11 13:58:23

537

Views

Defining a continuous function on a completely regular totally disconnected space

Published on 11 Apr 2026 - 13:58

score 1.4k · Answer 6 · 2026-04-15 06:19:05

1.4k

Views

Prob. 4, Sec. 27, in Munkres' TOPOLOGY, 2nd ed: Any connected metric space having more than one point is uncountable

Published on 15 Apr 2026 - 6:19

score 33 · Answer 7 · 2026-04-15 11:09:44

33

Views

Notation for the relationship $a > b, \forall a \in A, \forall b \in B$ for the sets $A, B$

Published on 15 Apr 2026 - 11:09

score 28 · Answer 8 · 2026-04-16 15:40:03

Showing $\{B \in \mathcal B: x \in B\}$ is filterbasis of neighbourhood filter $\mathcal U(x)$ $\forall x \in X$

score 146 · Answer 9 · 2026-04-14 00:34:34

146

Views

Is the set $T = \{1,\frac12,\frac13,\ldots,\frac1n,\ldots\}$ closed?

Published on 14 Apr 2026 - 0:34

score 430 · Answer 10 · 2026-04-14 21:18:51

430

Views

Sequence in $(0,1)$ without accumulation points

Published on 14 Apr 2026 - 21:18

score 84 · Answer 11 · 2026-04-15 07:22:32

84

Views

which of the following are compact..?

Published on 15 Apr 2026 - 7:22

score 1k · Answer 12 · 2026-04-15 23:37:57

1k

Views

choose the correct statement regarding $\Bbb R$ with the cofinite topology

Published on 15 Apr 2026 - 23:37

score 201 · Answer 13 · 2026-04-16 14:31:37

201

Views

The Torus is compact $T= -1\leq z\leq 1,x^{2}+y^{2}=\left ( 2-\lambda \right )^{2}$ where $\lambda ^{2}= 1-z^{2}$

Published on 16 Apr 2026 - 14:31

score 92 · Answer 14 · 2026-04-15 21:10:35

92

Views

Prove that $\mathbb{R}$ with this metric is complete

Published on 15 Apr 2026 - 21:10

score 49 · Answer 15 · 2026-04-13 23:44:24

49

Views

Decompose a two-manifold into the union of Orientation Reversal Pairs

Published on 13 Apr 2026 - 23:44

List Question

Null homotopic map from $X$ to $Y$

Why closed implies sequentially closed but not the converse?

A function converges if and only if it can be extended to a continuous map

Proving $\mathbb{T=\{R^2,\varnothing\}}\cup\{G_k,k\in\mathbb{Q}\}$ is not a topology.

Defining a continuous function on a completely regular totally disconnected space

Prob. 4, Sec. 27, in Munkres' TOPOLOGY, 2nd ed: Any connected metric space having more than one point is uncountable

Notation for the relationship $a > b, \forall a \in A, \forall b \in B$ for the sets $A, B$

Showing $\{B \in \mathcal B: x \in B\}$ is filterbasis of neighbourhood filter $\mathcal U(x)$ $\forall x \in X$

Is the set $T = \{1,\frac12,\frac13,\ldots,\frac1n,\ldots\}$ closed?

Sequence in $(0,1)$ without accumulation points

which of the following are compact..?

choose the correct statement regarding $\Bbb R$ with the cofinite topology

The Torus is compact $T= -1\leq z\leq 1,x^{2}+y^{2}=\left ( 2-\lambda \right )^{2}$ where $\lambda ^{2}= 1-z^{2}$

Prove that $\mathbb{R}$ with this metric is complete

Decompose a two-manifold into the union of Orientation Reversal Pairs

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