Question

Proof that l2 has a countable and dense subset

score 1k · Answer 1 · 2026-04-14 11:55:21

1k

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Proof that l2 has a countable and dense subset

Published on 14 Apr 2026 - 11:55

score 71 · Answer 2 · 2026-04-11 17:45:45

71

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Question on completing proof separability in metric space implies countability

Published on 11 Apr 2026 - 17:45

score 204 · Answer 3 · 2026-04-15 18:51:08

204

Views

Find bijection $\ell^{\infty} \to [0,1]$

Published on 15 Apr 2026 - 18:51

score 655 · Answer 4 · 2026-04-15 05:57:18

655

Views

Example of a space that is separable but not complete

Published on 15 Apr 2026 - 5:57

score 161 · Answer 5 · 2026-04-29 15:43:12

161

Views

Separability and the Nagata-Smirnov Metrisation Theorem

Published on 29 Apr 2026 - 15:43

score 202 · Answer 6 · 2026-04-14 13:09:22

202

Views

Show that X is a separable space if X/U and U are separable and U is closed.

Published on 14 Apr 2026 - 13:09

score 95 · Answer 7 · 2026-04-13 10:56:27

95

Views

Separability of the Space of Random Banach Space Valued Functions

Published on 13 Apr 2026 - 10:56

score 420 · Answer 8 · 2026-04-15 15:09:02

420

Views

Prove that if a metric space (X,d) is separable, then its completion ($\hat{X}, \hat{d}$) is separable.

Published on 15 Apr 2026 - 15:09

score 242 · Answer 9 · 2026-05-10 15:22:55

242

Views

Schauder basis $\implies $ Separable for non translation invariant metric linear spaces

Published on 10 May 2026 - 15:22

score 206 · Answer 10 · 2026-04-13 16:19:39

206

Views

Separability of a Hilbert Space

Published on 13 Apr 2026 - 16:19

score 433 · Answer 11 · 2026-04-14 22:07:43

433

Views

Let $X,Y$ be topological spaces and $f \colon X \rightarrow Y $ continuous surjection. If $X$ is separable, is $Y$ separable?

Published on 14 Apr 2026 - 22:07

score 103 · Answer 12 · 2026-04-29 12:57:03

103

Views

Does $C_c(X)$ separate points in $X$ when $X$ is a Banach space?

Published on 29 Apr 2026 - 12:57

score 387 · Answer 13 · 2026-05-10 14:46:53

387

Views

$L^{p}$ is separable for second countable space

Published on 10 May 2026 - 14:46

score 227 · Answer 14 · 2026-04-11 07:21:21

227

Views

Example of topological space that is not first countable and also is not separable

Published on 11 Apr 2026 - 7:21

score 105 · Answer 15 · 2026-04-11 00:27:29

105

Views

Is the product of hyperconnected separable topological spaces always separable?

Published on 11 Apr 2026 - 0:27

List Question

Proof that l2 has a countable and dense subset

Question on completing proof separability in metric space implies countability

Find bijection $\ell^{\infty} \to [0,1]$

Example of a space that is separable but not complete

Separability and the Nagata-Smirnov Metrisation Theorem

Show that X is a separable space if X/U and U are separable and U is closed.

Separability of the Space of Random Banach Space Valued Functions

Prove that if a metric space (X,d) is separable, then its completion ($\hat{X}, \hat{d}$) is separable.

Schauder basis $\implies $ Separable for non translation invariant metric linear spaces

Separability of a Hilbert Space

Let $X,Y$ be topological spaces and $f \colon X \rightarrow Y $ continuous surjection. If $X$ is separable, is $Y$ separable?

Does $C_c(X)$ separate points in $X$ when $X$ is a Banach space?

$L^{p}$ is separable for second countable space

Example of topological space that is not first countable and also is not separable

Is the product of hyperconnected separable topological spaces always separable?

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