Question

example of an Hausdorff space without a Stone-Cech compactification

score 454 · Answer 1 · 2026-03-25 06:01:22

454

Views

example of an Hausdorff space without a Stone-Cech compactification

Published on 25 Mar 2026 - 6:01

score 154 · Answer 2 · 2026-03-25 22:26:00

154

Views

A counterexample to the Sura-Bura Theorem for non separated compact spaces

Published on 25 Mar 2026 - 22:26

score 91 · Answer 3 · 2018-04-15 12:00:07

91

Views

The complement of the union of sets is compact

Published on 15 Apr 2018 - 12:00

score 588 · Answer 4 · 2026-03-22 20:13:46

588

Views

Can a countable dense subset be split into two disjoint dense subsets?

Published on 22 Mar 2026 - 20:13

score 147 · Answer 5 · 2018-04-16 11:58:03

147

Views

Let $f\colon X \rightarrow Y$ be a continuous and surjective function. Show that if $X$ is compact, then so is $Y$.

Published on 16 Apr 2018 - 11:58

score 172 · Answer 6 · 2018-04-16 17:54:43

172

Views

Preservation of compactness under equivalent metrics

Published on 16 Apr 2018 - 17:54

score 341 · Answer 7 · 2018-04-16 18:37:35

341

Views

"Kuratowski-Mrówka theorem" Need reference

Published on 16 Apr 2018 - 18:37

score 40 · Answer 8 · 2018-04-17 13:44:55

40

Views

For sequences that are pairwise ordered by infimum, is the intersection or union of said sequences still ordered?

Published on 17 Apr 2018 - 13:44

score 236 · Answer 9 · 2018-04-18 00:36:17

236

Views

"Totally disconnected" analogue of a classical result from functional analysis

Published on 18 Apr 2018 - 0:36

score 1.2k · Answer 10 · 2026-03-25 02:02:54

1.2k

Views

Is this true? $C^1$ functions are Lipschitz on bounded sets

Published on 25 Mar 2026 - 2:02

score 410 · Answer 11 · 2026-03-25 07:48:42

410

Views

Show that $\mathbb{Z}$ with the Furstenberg's topology is compact

Published on 25 Mar 2026 - 7:48

score 107 · Answer 12 · 2026-03-26 01:14:50

107

Views

How does one prove the finite intersection property using Limit Point Compactness?

Published on 26 Mar 2026 - 1:14

score 627 · Answer 13 · 2018-04-19 03:26:07

627

Views

Function that maps compact interval to compact interval has maximum, minimum and IVP

Published on 19 Apr 2018 - 3:26

score 1.6k · Answer 14 · 2026-03-25 16:54:17

1.6k

Views

Relationship between equicontinuity and total boundedness

Published on 25 Mar 2026 - 16:54

score 1.1k · Answer 15 · 2026-03-27 19:54:10

1.1k

Views

Support of $f + g$ lies in the union of supports of $f, g$.

Published on 27 Mar 2026 - 19:54

List Question

example of an Hausdorff space without a Stone-Cech compactification

A counterexample to the Sura-Bura Theorem for non separated compact spaces

The complement of the union of sets is compact

Can a countable dense subset be split into two disjoint dense subsets?

Let $f\colon X \rightarrow Y$ be a continuous and surjective function. Show that if $X$ is compact, then so is $Y$.

Preservation of compactness under equivalent metrics

"Kuratowski-Mrówka theorem" Need reference

For sequences that are pairwise ordered by infimum, is the intersection or union of said sequences still ordered?

"Totally disconnected" analogue of a classical result from functional analysis

Is this true? $C^1$ functions are Lipschitz on bounded sets

Show that $\mathbb{Z}$ with the Furstenberg's topology is compact

How does one prove the finite intersection property using Limit Point Compactness?

Function that maps compact interval to compact interval has maximum, minimum and IVP

Relationship between equicontinuity and total boundedness

Support of $f + g$ lies in the union of supports of $f, g$.

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