Question

Proof that l2 has a countable and dense subset

score 1k · Answer 1 · 2019-04-18 02:05:03

1k

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Proof that l2 has a countable and dense subset

Published on 18 Apr 2019 - 2:05

score 69 · Answer 2 · 2019-04-26 15:05:10

69

Views

Question on completing proof separability in metric space implies countability

Published on 26 Apr 2019 - 15:05

score 201 · Answer 3 · 2019-04-27 12:53:49

201

Views

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

Published on 27 Apr 2019 - 12:53

score 652 · Answer 4 · 2019-04-29 20:53:07

652

Views

Example of a space that is separable but not complete

Published on 29 Apr 2019 - 20:53

score 155 · Answer 5 · 2026-03-17 08:58:50

155

Views

Separability and the Nagata-Smirnov Metrisation Theorem

Published on 17 Mar 2026 - 8:58

score 199 · Answer 6 · 2019-05-04 17:34:32

199

Views

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

Published on 04 May 2019 - 17:34

score 93 · Answer 7 · 2019-05-05 18:05:47

93

Views

Separability of the Space of Random Banach Space Valued Functions

Published on 05 May 2019 - 18:05

score 417 · Answer 8 · 2019-05-08 00:30:33

417

Views

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

Published on 08 May 2019 - 0:30

score 238 · Answer 9 · 2026-03-25 03:22:59

238

Views

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

Published on 25 Mar 2026 - 3:22

score 202 · Answer 10 · 2019-05-25 07:01:56

202

Views

Separability of a Hilbert Space

Published on 25 May 2019 - 7:01

score 430 · Answer 11 · 2019-06-01 10:00:13

430

Views

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

Published on 01 Jun 2019 - 10:00

score 96 · Answer 12 · 2026-03-17 19:28:27

96

Views

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

Published on 17 Mar 2026 - 19:28

score 386 · Answer 13 · 2026-03-25 06:17:55

386

Views

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

Published on 25 Mar 2026 - 6:17

score 225 · Answer 14 · 2026-03-25 07:59:57

225

Views

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

Published on 25 Mar 2026 - 7:59

score 102 · Answer 15 · 2019-07-29 20:29:01

102

Views

Is the product of hyperconnected separable topological spaces always separable?

Published on 29 Jul 2019 - 20:29

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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