Question

example of an Hausdorff space without a Stone-Cech compactification

score 460 · Answer 1 · 2026-05-10 13:48:16

460

Views

example of an Hausdorff space without a Stone-Cech compactification

Published on 10 May 2026 - 13:48

score 157 · Answer 2 · 2026-05-11 03:06:52

157

Views

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

Published on 11 May 2026 - 3:06

score 94 · Answer 3 · 2026-04-14 04:31:51

94

Views

The complement of the union of sets is compact

Published on 14 Apr 2026 - 4:31

score 595 · Answer 4 · 2026-05-14 07:19:20

595

Views

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

Published on 14 May 2026 - 7:19

score 150 · Answer 5 · 2026-04-15 05:36:50

150

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 15 Apr 2026 - 5:36

score 175 · Answer 6 · 2026-04-13 04:05:01

175

Views

Preservation of compactness under equivalent metrics

Published on 13 Apr 2026 - 4:05

score 344 · Answer 7 · 2026-04-14 05:36:31

344

Views

"Kuratowski-Mrówka theorem" Need reference

Published on 14 Apr 2026 - 5:36

score 43 · Answer 8 · 2026-04-14 09:39:42

43

Views

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

Published on 14 Apr 2026 - 9:39

score 239 · Answer 9 · 2026-04-12 05:07:46

239

Views

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

Published on 12 Apr 2026 - 5:07

score 1.2k · Answer 10 · 2026-05-10 21:24:48

1.2k

Views

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

Published on 10 May 2026 - 21:24

score 411 · Answer 11 · 2026-05-10 14:06:51

411

Views

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

Published on 10 May 2026 - 14:06

score 112 · Answer 12 · 2026-05-10 20:11:30

112

Views

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

Published on 10 May 2026 - 20:11

score 630 · Answer 13 · 2026-04-14 11:15:57

630

Views

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

Published on 14 Apr 2026 - 11:15

score 1.6k · Answer 14 · 2026-05-13 21:53:38

1.6k

Views

Relationship between equicontinuity and total boundedness

Published on 13 May 2026 - 21:53

score 1.1k · Answer 15 · 2026-04-15 14:05:54

1.1k

Views

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

Published on 15 Apr 2026 - 14:05

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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