Question

One point compactification of the punctured plane $\Bbb{R}^2\setminus\{(0,0)\}$

score 1.2k · Answer 1 · 2026-04-15 23:08:32

1.2k

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One point compactification of the punctured plane $\Bbb{R}^2\setminus\{(0,0)\}$

Published on 15 Apr 2026 - 23:08

score 80 · Answer 2 · 2026-04-30 05:40:28

80

Views

The Katětov Space

Published on 30 Apr 2026 - 5:40

score 674 · Answer 3 · 2026-04-13 18:39:50

674

Views

Why is adjoining a unit the algebraic counterpart to the one point compactification?

Published on 13 Apr 2026 - 18:39

score 106 · Answer 4 · 2026-04-14 13:47:23

106

Views

Proving that a set is an ultrafilter.

Published on 14 Apr 2026 - 13:47

score 1.5k · Answer 5 · 2026-04-08 17:34:31

1.5k

Views

Extending continuous function of space to continues function on one-point compactification

Published on 08 Apr 2026 - 17:34

score 224 · Answer 6 · 2026-04-16 10:31:19

224

Views

Every Hausdorff-compactification of the reals corresponds to a C*-subalgebra of bounded continuous functions on $\mathbb{R}$

Published on 16 Apr 2026 - 10:31

score 161 · Answer 7 · 2026-04-16 14:55:30

161

Views

Why is the closure of every countable discrete subspace of $\beta\mathbb{N}$ homeomorphic to $\beta\mathbb{N}$?

Published on 16 Apr 2026 - 14:55

score 505 · Answer 8 · 2026-04-09 13:53:17

505

Views

How does the one-point compactification affect the fundamental group of the complement of a knot?

Published on 09 Apr 2026 - 13:53

score 95 · Answer 9 · 2026-04-16 05:28:09

95

Views

A well-behaved subset of $\beta\mathbb{R}$

Published on 16 Apr 2026 - 5:28

score 512 · Answer 10 · 2026-04-17 09:39:08

512

Views

Compactification of the integers

Published on 17 Apr 2026 - 9:39

score 38 · Answer 11 · 2026-04-08 20:38:15

38

Views

An "obvious" claim about the Baire number of $\omega^*$

Published on 08 Apr 2026 - 20:38

score 89 · Answer 12 · 2026-04-16 10:36:40

89

Views

A consequence of $\beta X\setminus X$ not being zero dimensional.

Published on 16 Apr 2026 - 10:36

score 144 · Answer 13 · 2026-04-09 07:29:23

144

Views

Fourier / Gelfand transform vanishes at infinity?

Published on 09 Apr 2026 - 7:29

score 56 · Answer 14 · 2026-04-09 13:38:28

56

Views

Weight of the Stone-Cech compactification of a Tychonoff space

Published on 09 Apr 2026 - 13:38

score 96 · Answer 15 · 2026-05-10 16:14:01

96

Views

How to understand the compactification of the upper half plane as motivation for Gromov compactification of an arbitrary $\delta$-hyperbolic space??

Published on 10 May 2026 - 16:14

List Question

One point compactification of the punctured plane $\Bbb{R}^2\setminus\{(0,0)\}$

The Katětov Space

Why is adjoining a unit the algebraic counterpart to the one point compactification?

Proving that a set is an ultrafilter.

Extending continuous function of space to continues function on one-point compactification

Every Hausdorff-compactification of the reals corresponds to a C*-subalgebra of bounded continuous functions on $\mathbb{R}$

Why is the closure of every countable discrete subspace of $\beta\mathbb{N}$ homeomorphic to $\beta\mathbb{N}$?

How does the one-point compactification affect the fundamental group of the complement of a knot?

A well-behaved subset of $\beta\mathbb{R}$

Compactification of the integers

An "obvious" claim about the Baire number of $\omega^*$

A consequence of $\beta X\setminus X$ not being zero dimensional.

Fourier / Gelfand transform vanishes at infinity?

Weight of the Stone-Cech compactification of a Tychonoff space

How to understand the compactification of the upper half plane as motivation for Gromov compactification of an arbitrary $\delta$-hyperbolic space??

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