List questions from compactification

Published on 06 Jun 2022 - 16:29

151

Views

One point compactification and closed subspace

Published on 07 Jun 2022 - 21:41

99

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Closure of Y in one-point compactification

Published on 09 Jun 2022 - 6:59

145

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Can we determine an explicit construction of the functions $\beta(f)$, where $\beta$ is the Stone-Cech adjoint functor?

Published on 09 Jun 2022 - 22:49

291

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If the Stone-Čech compactification $\beta X$ of $X$ is connected then $X$ is connected

Published on 16 Jun 2022 - 14:58

92

Views

Question about the proof about topological compactifications of $\mathbb{R}$

Published on 26 Mar 2026 - 7:58

137

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continuity of a map into a one-point compactification

Published on 20 Jun 2022 - 7:15

86

Views

Stone–Čech compactification of a space removing a point in a compact space

Published on 20 Jun 2022 - 9:32

255

Views

How to prove that the Stone-Čech compactification of a Tychonoff space always exists?

Published on 23 Feb 2026 - 6:23

54

Views

Understanding a detail of a proof about topological compactifications

Published on 26 Mar 2026 - 12:41

226

Views

Proof that $\alpha \mathbb{R}$, the two-point compactification and $\beta \mathbb{R}$ are the only three topological compactifications of $\mathbb{R}$

Published on 10 Jul 2022 - 13:02

66

Views

Does a Compact Subset Remain Compact in the Alexandroff Compactification?

Published on 22 Jul 2022 - 16:16

73

Views

Cancellation property of the Stone Cech compactification

Published on 24 Feb 2026 - 6:48

383

Views

Why does $\mathbb{N}$ have only two topological compactifications?

Published on 02 Sep 2022 - 13:17

90

Views

Why are two descriptions of strong zero-dimensionality equivalent?

Published on 26 Mar 2026 - 12:34

List Question

Compactification of the upper half plane

One point compactification and closed subspace

Closure of Y in one-point compactification

Can we determine an explicit construction of the functions $\beta(f)$, where $\beta$ is the Stone-Cech adjoint functor?

If the Stone-Čech compactification $\beta X$ of $X$ is connected then $X$ is connected

Question about the proof about topological compactifications of $\mathbb{R}$

continuity of a map into a one-point compactification

Stone–Čech compactification of a space removing a point in a compact space

How to prove that the Stone-Čech compactification of a Tychonoff space always exists?

Understanding a detail of a proof about topological compactifications

Proof that $\alpha \mathbb{R}$, the two-point compactification and $\beta \mathbb{R}$ are the only three topological compactifications of $\mathbb{R}$

Does a Compact Subset Remain Compact in the Alexandroff Compactification?

Cancellation property of the Stone Cech compactification

Why does $\mathbb{N}$ have only two topological compactifications?

Why are two descriptions of strong zero-dimensionality equivalent?

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