List questions from general-topology

Published on 09 Apr 2026 - 4:42

73

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general topology, intersection of open sets

Published on 12 Apr 2026 - 0:06

277

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Prove that $Fr(Fr(Fr(A))) = Fr(Fr(A))$

Published on 12 Apr 2026 - 16:55

69

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"Halving" neighborhoods in topological groups

Published on 12 Apr 2026 - 7:21

206

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"winding number" of the map: $M \to S^3$ when $M$ is a non-orientable 3-manifold

Published on 16 Apr 2026 - 6:36

376

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Maximum between two consecutive minima, topology

Published on 12 Apr 2026 - 10:05

33

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Metric space containing distinct points $a$ and $b$ such that $N_R(a) \subset N_r(b)$ where $R > r > 0$

Published on 15 Apr 2026 - 16:59

163

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Condition for which $ \text{dist}(x,A) = d(x,y_0)$

Published on 15 Apr 2026 - 23:43

73

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Proof of topological space

Published on 12 Apr 2026 - 7:33

187

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Countable Basis Proof in Munkres

Published on 12 Apr 2026 - 8:15

185

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Prove that $[0,1]^n / S_n \cong \Delta^n$

Published on 15 Apr 2026 - 19:53

38

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$\tau_3 = \{\mathbf{R},\varnothing\}\cup\{[n,\infty):n\in\mathbf{Z}^+\}$ is a topology on $\mathbf{R}$.

Published on 13 Apr 2026 - 21:21

296

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free ultrafilters on $\mathbb{N}$

Published on 14 Apr 2026 - 23:31

213

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please help me to visualize the open sets in $\tau$.

Published on 12 Apr 2026 - 12:17

99

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Confused about quotient topology question

Published on 11 Apr 2026 - 1:49

List Question

Question about exercise in Singer & Thorpe

general topology, intersection of open sets

Prove that $Fr(Fr(Fr(A))) = Fr(Fr(A))$

"Halving" neighborhoods in topological groups

"winding number" of the map: $M \to S^3$ when $M$ is a non-orientable 3-manifold

Maximum between two consecutive minima, topology

Metric space containing distinct points $a$ and $b$ such that $N_R(a) \subset N_r(b)$ where $R > r > 0$

Condition for which $ \text{dist}(x,A) = d(x,y_0)$

Proof of topological space

Countable Basis Proof in Munkres

Prove that $[0,1]^n / S_n \cong \Delta^n$

$\tau_3 = \{\mathbf{R},\varnothing\}\cup\{[n,\infty):n\in\mathbf{Z}^+\}$ is a topology on $\mathbf{R}$.

free ultrafilters on $\mathbb{N}$

please help me to visualize the open sets in $\tau$.

Confused about quotient topology question

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