Question

Is there a first countable, $T_1$, weakly Lindelof, sequentially compact space which is not also compact?

score 87 · Answer 1 · 2024-03-03 03:50:31

87

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Is there a first countable, $T_1$, weakly Lindelof, sequentially compact space which is not also compact?

Published on 03 Mar 2024 - 3:50

score 78 · Answer 2 · 2024-03-10 17:12:56

78

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Is a $\sigma$-locally finite collection of open sets locally countable?

Published on 10 Mar 2024 - 17:12

score 136 · Answer 3 · 2015-10-05 07:33:49

136

Views

Why is this condition sufficient for the space to be Lindelöf?

Published on 05 Oct 2015 - 7:33

score 1k · Answer 4 · 2015-11-22 17:42:55

1k

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Every regular Lindelöf space is second countable.

Published on 22 Nov 2015 - 17:42

score 1.1k · Answer 5 · 2016-04-06 14:41:15

1.1k

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Is every compact space hereditarily Lindelöf?

Published on 06 Apr 2016 - 14:41

score 2.4k · Answer 6 · 2013-06-27 12:06:36

2.4k

Views

Confusion regarding the proof for "every regular lindelöf space is normal".

Published on 27 Jun 2013 - 12:06

score 2.2k · Answer 7 · 2013-06-27 22:12:18

2.2k

Views

A simple example of Lindelöf space.

Published on 27 Jun 2013 - 22:12

score 2.9k · Answer 8 · 2013-07-06 05:19:46

2.9k

Views

Confusion regarding the proof to "every Lindelöf metric space is second countable".

Published on 06 Jul 2013 - 5:19

score 3.9k · Answer 9 · 2013-12-12 10:43:01

3.9k

Views

How can I prove that the Sorgenfrey line is a Lindelöf space?

Published on 12 Dec 2013 - 10:43

score 1.4k · Answer 10 · 2017-04-22 12:08:20

1.4k

Views

Why the Sorgenfrey plane is not Lindelöf?

Published on 22 Apr 2017 - 12:08

score 110 · Answer 11 · 2012-01-30 00:43:50

110

Views

Question concerning Lindelöf subsets and C*-embeddings.

Published on 30 Jan 2012 - 0:43

score 4.4k · Answer 12 · 2012-11-26 01:51:44

4.4k

Views

Closed subsets of Lindelöf spaces are Lindelöf

Published on 26 Nov 2012 - 1:51

score 1.8k · Answer 13 · 2013-03-06 06:30:29

1.8k

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The Sorgenfrey line is hereditarily Lindelöf

Published on 06 Mar 2013 - 6:30

score 139 · Answer 14 · 2020-08-01 13:40:16

139

Views

Paracompact Hausdorff Space with Dense Lindelof subset is Lindelof

Published on 01 Aug 2020 - 13:40

score 272 · Answer 15 · 2020-08-03 19:17:31

272

Views

Is a locally compact hereditarily Lindelof Hausdorff space first countable?

Published on 03 Aug 2020 - 19:17

List Question

Is there a first countable, $T_1$, weakly Lindelof, sequentially compact space which is not also compact?

Is a $\sigma$-locally finite collection of open sets locally countable?

Why is this condition sufficient for the space to be Lindelöf?

Every regular Lindelöf space is second countable.

Is every compact space hereditarily Lindelöf?

Confusion regarding the proof for "every regular lindelöf space is normal".

A simple example of Lindelöf space.

Confusion regarding the proof to "every Lindelöf metric space is second countable".

How can I prove that the Sorgenfrey line is a Lindelöf space?

Why the Sorgenfrey plane is not Lindelöf?

Question concerning Lindelöf subsets and C*-embeddings.

Closed subsets of Lindelöf spaces are Lindelöf

The Sorgenfrey line is hereditarily Lindelöf

Paracompact Hausdorff Space with Dense Lindelof subset is Lindelof

Is a locally compact hereditarily Lindelof Hausdorff space first countable?

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