List questions from lindelof-spaces

Published on 15 Feb 2018 - 16:23

510

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Show that if a topological space has at most countable basis, then the space is separable and Lindelöf

Published on 22 Feb 2026 - 21:31

619

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Let $(X, \mathcal{T})$ be a metrizable space. Prove that $X$ Lindelöf implies that $X$ is separable.

Published on 26 Feb 2018 - 16:14

53

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Show that a Regular space $X$ is Lindelöf if it has a locally finite open cover $\mathcal{U}$ such that $\rm{Fr}\,U$ has the Lindelöf property

Published on 24 May 2018 - 2:00

183

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Proof for $\mathbb{R}_{l}$ is Lindelof

Published on 03 Aug 2018 - 2:58

1.3k

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Lindelöf and separable metric space

Published on 08 Nov 2018 - 4:13

60

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Countable $\varepsilon$-net of measurable sets

Published on 18 Nov 2018 - 9:23

185

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Munkres 37.3 maximal set with respect to the countable intersection property.

Published on 07 Apr 2019 - 0:18

120

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Almost Lindelöf spaces.

Published on 10 Apr 2019 - 18:04

2.4k

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How to show $R_l$ is Lindelöf space?

Published on 11 Apr 2019 - 16:37

135

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Classifying Hausdorff spaces

Published on 22 Feb 2026 - 23:23

1.6k

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Lindelöf if and only if every collection with the countable intersection property has non-empty intersection of closures

Published on 11 Apr 2014 - 2:42

2k

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Lindelöf and second countable spaces

Published on 29 Oct 2019 - 2:41

201

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Second Countability $\implies$ Lindelöf property(Proof verification)

Published on 14 Feb 2020 - 13:36

65

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$Y\subset X$ is Lindelof iff Every $X$-open cover of $Y$ has a countable $X$-open subcover.

Published on 11 Mar 2020 - 8:00

List Question

Proof by Contradiction--Product of Lindelöf Spaces is Lindelöf

Show that if a topological space has at most countable basis, then the space is separable and Lindelöf

Let $(X, \mathcal{T})$ be a metrizable space. Prove that $X$ Lindelöf implies that $X$ is separable.

Show that a Regular space $X$ is Lindelöf if it has a locally finite open cover $\mathcal{U}$ such that $\rm{Fr}\,U$ has the Lindelöf property

Proof for $\mathbb{R}_{l}$ is Lindelof

Lindelöf and separable metric space

Countable $\varepsilon$-net of measurable sets

Munkres 37.3 maximal set with respect to the countable intersection property.

Almost Lindelöf spaces.

How to show $R_l$ is Lindelöf space?

Classifying Hausdorff spaces

Lindelöf if and only if every collection with the countable intersection property has non-empty intersection of closures

Lindelöf and second countable spaces

Second Countability $\implies$ Lindelöf property(Proof verification)

$Y\subset X$ is Lindelof iff Every $X$-open cover of $Y$ has a countable $X$-open subcover.

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