List questions from separable-spaces

Published on 07 Jun 2021 - 14:17

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Countable dense subset of $\ell_2$?

Published on 10 Jun 2021 - 21:12

228

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Determine whether $\mathbb{R}^\omega$ is separable or complete

Published on 12 Jun 2021 - 3:46

925

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Separability is not hereditary property

Published on 12 Jun 2021 - 5:30

249

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Subset of $\mathcal{C}([0,1], \mathbb{R})$

Published on 12 Jun 2021 - 17:22

129

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Second Countability Implies Separability

Published on 26 Mar 2026 - 6:17

53

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Functional Analysis : A question abaout extensions without use the Banach Theorem or Zorn's lemma .

Published on 23 Feb 2026 - 21:15

202

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On showing that every separable metric space has a countable base

Published on 26 Mar 2026 - 1:02

742

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$L^p(T)$ is separable for $1 \le p < \infty$, but $L^\infty(T)$ is not separable

Published on 08 Jul 2021 - 16:28

50

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Separable space admits a metric such that collection of open balls is locally finite

Published on 12 Jul 2021 - 16:46

72

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Proving metric space consisting of infinite set with limit point is separable.

Published on 25 Jul 2021 - 15:57

112

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Dense subset of dual ball w.r.t. $w^*$-topology

Published on 24 Aug 2021 - 11:43

186

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Proof for separable normed space

Published on 27 Aug 2021 - 12:42

164

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If $X$ is locally compact Hausdorff and $C_0(X)$ is separable, then $X$ is metrizable and separable

Published on 23 Feb 2026 - 8:40

138

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Separable subspace of the dual space of $L^1$?

Published on 16 Sep 2021 - 10:15

List Question

If $X$ is separable, then so is its subset

Countable dense subset of $\ell_2$?

Determine whether $\mathbb{R}^\omega$ is separable or complete

Separability is not hereditary property

Subset of $\mathcal{C}([0,1], \mathbb{R})$

Second Countability Implies Separability

Functional Analysis : A question abaout extensions without use the Banach Theorem or Zorn's lemma .

On showing that every separable metric space has a countable base

$L^p(T)$ is separable for $1 \le p < \infty$, but $L^\infty(T)$ is not separable

Separable space admits a metric such that collection of open balls is locally finite

Proving metric space consisting of infinite set with limit point is separable.

Dense subset of dual ball w.r.t. $w^*$-topology

Proof for separable normed space

If $X$ is locally compact Hausdorff and $C_0(X)$ is separable, then $X$ is metrizable and separable

Separable subspace of the dual space of $L^1$?

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