Question

Definition of elementary filters and their existences for certain sequences.

score 138 · Answer 1 · 2018-01-25 11:55:12

138

Views

Definition of elementary filters and their existences for certain sequences.

Published on 25 Jan 2018 - 11:55

score 156 · Answer 2 · 2018-01-25 12:13:13

156

Views

Unique limits of sequences wrt different topologies.

Published on 25 Jan 2018 - 12:13

score 142 · Answer 3 · 2026-03-19 23:51:00

142

Views

$\mathbb{S}^2$ and $\mathbb{RP}^2$ are the only compact surfaces with finite number of covers.

Published on 19 Mar 2026 - 23:51

score 29 · Answer 4 · 2018-01-25 14:50:26

29

Views

($\mathbb{R},\mathcal{E}_1$) with equivalence relation $x\mathcal{R}y \Leftrightarrow a \neq 0$ y = ax

Published on 25 Jan 2018 - 14:50

score 390 · Answer 5 · 2018-01-25 16:15:54

390

Views

Let $(X,\tau)$ be a compact space. Are connected components and connected components by arcs compact?

Published on 25 Jan 2018 - 16:15

score 50 · Answer 6 · 2018-01-25 17:32:07

50

Views

Describing continuous functions from X to Y

Published on 25 Jan 2018 - 17:32

score 284 · Answer 7 · 2026-03-23 13:26:49

284

Views

Is the monodromy action of the universal covering of a Riemann surface faithful?

Published on 23 Mar 2026 - 13:26

score 142 · Answer 8 · 2026-03-20 08:13:00

142

Views

Homotopy type of simplicial complexes

Published on 20 Mar 2026 - 8:13

score 1.4k · Answer 9 · 2026-03-24 00:39:02

1.4k

Views

An injective continuous map between two compact Hausdorff spaces.

Published on 24 Mar 2026 - 0:39

score 1.3k · Answer 10 · 2018-01-25 19:45:24

1.3k

Views

Unsure how to prove that this function is homeomorphism:

Published on 25 Jan 2018 - 19:45

score 2.2k · Answer 11 · 2018-01-25 20:55:53

2.2k

Views

Are finite sets in R open?

Published on 25 Jan 2018 - 20:55

score 82 · Answer 12 · 2018-01-25 21:08:13

82

Views

How to prove that $\overline{\Bbb H^1} \times \overline{\Bbb H^1} \cong \overline{\Bbb H^2}$?

Published on 25 Jan 2018 - 21:08

score 561 · Answer 13 · 2018-01-25 21:55:48

561

Views

Intuitive way to understand the relationship between closed sets and open sets?

Published on 25 Jan 2018 - 21:55

score 1.5k · Answer 14 · 2018-01-26 05:04:13

1.5k

Views

Looking for challenge problems in topology

Published on 26 Jan 2018 - 5:04

score 23 · Answer 15 · 2026-03-25 05:41:58

If $ V $ is any set open in $ \prod_{\alpha} Y_{\alpha} $, then $ p_{\alpha} (V) = Y_{\alpha} $ for all but at most finitely many $ \alpha $

List Question

Definition of elementary filters and their existences for certain sequences.

Unique limits of sequences wrt different topologies.

$\mathbb{S}^2$ and $\mathbb{RP}^2$ are the only compact surfaces with finite number of covers.

($\mathbb{R},\mathcal{E}_1$) with equivalence relation $x\mathcal{R}y \Leftrightarrow a \neq 0$ y = ax

Let $(X,\tau)$ be a compact space. Are connected components and connected components by arcs compact?

Describing continuous functions from X to Y

Is the monodromy action of the universal covering of a Riemann surface faithful?

Homotopy type of simplicial complexes

An injective continuous map between two compact Hausdorff spaces.

Unsure how to prove that this function is homeomorphism:

Are finite sets in R open?

How to prove that $\overline{\Bbb H^1} \times \overline{\Bbb H^1} \cong \overline{\Bbb H^2}$?

Intuitive way to understand the relationship between closed sets and open sets?

Looking for challenge problems in topology

If $ V $ is any set open in $ \prod_{\alpha} Y_{\alpha} $, then $ p_{\alpha} (V) = Y_{\alpha} $ for all but at most finitely many $ \alpha $

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