Question

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

score 1.2k · Answer 1 · 2016-11-10 21:28:59

1.2k

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

Published on 10 Nov 2016 - 21:28

score 76 · Answer 2 · 2016-11-14 02:34:30

76

Views

The Katětov Space

Published on 14 Nov 2016 - 2:34

score 671 · Answer 3 · 2017-01-05 11:05:08

671

Views

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

Published on 05 Jan 2017 - 11:05

score 104 · Answer 4 · 2026-03-26 03:00:51

104

Views

Proving that a set is an ultrafilter.

Published on 26 Mar 2026 - 3:00

score 1.5k · Answer 5 · 2017-02-24 10:51:31

1.5k

Views

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

Published on 24 Feb 2017 - 10:51

score 221 · Answer 6 · 2017-03-09 17:45:09

221

Views

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

Published on 09 Mar 2017 - 17:45

score 158 · Answer 7 · 2017-03-13 23:13:57

158

Views

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

Published on 13 Mar 2017 - 23:13

score 502 · Answer 8 · 2017-03-13 23:25:34

502

Views

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

Published on 13 Mar 2017 - 23:25

score 92 · Answer 9 · 2017-03-26 16:27:31

92

Views

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

Published on 26 Mar 2017 - 16:27

score 509 · Answer 10 · 2017-03-27 20:01:56

509

Views

Compactification of the integers

Published on 27 Mar 2017 - 20:01

score 35 · Answer 11 · 2017-03-28 06:10:56

35

Views

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

Published on 28 Mar 2017 - 6:10

score 86 · Answer 12 · 2017-04-04 06:13:29

86

Views

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

Published on 04 Apr 2017 - 6:13

score 143 · Answer 13 · 2026-02-23 02:53:43

143

Views

Fourier / Gelfand transform vanishes at infinity?

Published on 23 Feb 2026 - 2:53

score 54 · Answer 14 · 2026-02-23 06:23:14

54

Views

Weight of the Stone-Cech compactification of a Tychonoff space

Published on 23 Feb 2026 - 6:23

score 95 · Answer 15 · 2026-03-25 14:36:43

95

Views

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

Published on 25 Mar 2026 - 14:36

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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