List questions from separable-spaces

Published on 14 Apr 2026 - 18:18

664

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Show that $C(K,E)$ is separable

Published on 13 Apr 2026 - 13:45

46

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Separable $\Rightarrow$ Lindelöf for metric spaces without using second-countability

Published on 25 Mar 2026 - 6:24

51

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Continuity of the derivative on a separated interval

Published on 14 Apr 2026 - 8:17

1.3k

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Lindelöf and separable metric space

Published on 23 Apr 2026 - 5:33

72

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Properties of basis of regular open sets in separable spaces

Published on 10 Apr 2026 - 19:52

203

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Similarity and Difference between Separable Space and Separated space?

Published on 10 May 2026 - 13:46

58

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Banach space with subset whose elements are at least $d\gt 0$ far from each other is not separable

Published on 15 Apr 2026 - 15:42

673

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Proving that if the dual space $X^*$ of a Banach space $X$ is separable , then $X$ is separable

Published on 16 Apr 2026 - 1:34

90

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Showing that $Y = \cup_{n=1}^\infty Y_n$ is dense over the Hilbert $H$.

Published on 16 Apr 2026 - 0:15

138

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Is every separable locally compact metrizable topology induced by a Heine-Borel metric?

Published on 12 Apr 2026 - 8:46

777

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Why $L_{p}(\mathbb{R})$ is separable?

Published on 11 Apr 2026 - 17:52

981

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Proof that the following map $\Phi:\ell^1\to(\ell^\infty)'$ is not surjective

Published on 16 Apr 2026 - 14:22

46

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Continuous injections of nice spaces into $\ell^2$

Published on 11 Apr 2026 - 6:58

214

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A boolean algebra is countable iff the Stone space is separable

Published on 13 Apr 2026 - 6:05

List Question

$L^∞(R,L, λ)$ Inseparable?

Show that $C(K,E)$ is separable

Separable $\Rightarrow$ Lindelöf for metric spaces without using second-countability

Continuity of the derivative on a separated interval

Lindelöf and separable metric space

Properties of basis of regular open sets in separable spaces

Similarity and Difference between Separable Space and Separated space?

Banach space with subset whose elements are at least $d\gt 0$ far from each other is not separable

Proving that if the dual space $X^*$ of a Banach space $X$ is separable , then $X$ is separable

Showing that $Y = \cup_{n=1}^\infty Y_n$ is dense over the Hilbert $H$.

Is every separable locally compact metrizable topology induced by a Heine-Borel metric?

Why $L_{p}(\mathbb{R})$ is separable?

Proof that the following map $\Phi:\ell^1\to(\ell^\infty)'$ is not surjective

Continuous injections of nice spaces into $\ell^2$

A boolean algebra is countable iff the Stone space is separable

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