List questions from separable-spaces

Published on 07 Jun 2018 - 9:01

438

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On the space of continuous functions of a second-countable space

Published on 08 Jun 2018 - 0:05

215

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Does there exist a topological space which is not separable but has the Souslin property?

Published on 09 Jun 2018 - 7:51

38

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A function defined in a separable metric space

Published on 12 Jun 2018 - 3:41

1.2k

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"Basis" of non-separable Hilbert space

Published on 21 Jun 2018 - 18:01

442

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Continuous mapping onto itself s.t. $f(A) = A$ where $A$ is closed

Published on 23 Jun 2018 - 6:14

136

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Countably Compact, Separable, $T_1$, Connected Space that is not Compact

Published on 26 Jun 2018 - 0:40

684

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If $X \times Y$ is Separable, are $X, Y$ Separable?

Published on 29 Jun 2018 - 21:11

125

Views

Bounded sequence has Cauchy subsequence w.r.t. $ (x|y)_0:=\sum^\infty_{n=1} 2^{-n}\phi_n(x)\phi_n(y).$

Published on 23 Mar 2026 - 3:13

85

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A countable open base implies that any open covering has a countable subcovering.

Published on 04 Aug 2018 - 7:47

144

Views

Given $k$ points in $n$-dimensional space, is there always a continuous $n-1$ surface that can divide the points into two arbitrary groups?

Published on 11 Aug 2018 - 21:08

206

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Is the Banach space of continuous functions $I \to \ell^2$ separable?

Published on 21 Aug 2018 - 0:22

366

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Proof doubt: $\ell^\infty$ is not separable

Published on 31 Aug 2018 - 23:16

210

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

Published on 05 Oct 2018 - 18:49

306

Views

Inseparable complete metric space with full Radon probability measure

Published on 19 Oct 2018 - 19:05

List Question

Can a pre-Hilbert space be separable?

On the space of continuous functions of a second-countable space

Does there exist a topological space which is not separable but has the Souslin property?

A function defined in a separable metric space

"Basis" of non-separable Hilbert space

Continuous mapping onto itself s.t. $f(A) = A$ where $A$ is closed

Countably Compact, Separable, $T_1$, Connected Space that is not Compact

If $X \times Y$ is Separable, are $X, Y$ Separable?

Bounded sequence has Cauchy subsequence w.r.t. $ (x|y)_0:=\sum^\infty_{n=1} 2^{-n}\phi_n(x)\phi_n(y).$

A countable open base implies that any open covering has a countable subcovering.

Given $k$ points in $n$-dimensional space, is there always a continuous $n-1$ surface that can divide the points into two arbitrary groups?

Is the Banach space of continuous functions $I \to \ell^2$ separable?

Proof doubt: $\ell^\infty$ is not separable

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

Inseparable complete metric space with full Radon probability measure

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