Timeline for Is each Parovichenko compact space homeomorphic to the remainder of a soft compactification of $\mathbb N$?
Current License: CC BY-SA 4.0
13 events
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| Aug 21, 2019 at 11:36 | comment | added | YCor | Actually it's not "my" definition: it's used in a 1978 Proc AMS paper of van Douwen and van Mill, in a Dow paper in Topol. Appl. 1985, in a 2012 paper of Glasner and Gutman, etc, and even has a Wikipedia page en.wikipedia.org/wiki/Parovicenko_space. | |
| Aug 21, 2019 at 11:22 | comment | added | Taras Banakh | @YCor No, "your" Parovichenko space is different than "mine". | |
| Aug 18, 2019 at 10:39 | comment | added | YCor | I read a definition of "Parovichenko space" as: a Stone space $X$ with weight $\mathbf{c}$, no isolated point and in which every nonempty countable intersection of open subsets has nonempty interior. (Under CH this characterizes $\beta\mathbf{N}\smallsetminus\mathbf{N}$ up to homeomorphism.) Is this related? | |
| Aug 18, 2019 at 3:17 | history | edited | Taras Banakh | CC BY-SA 4.0 |
Replaced the link by the original one
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| Nov 12, 2018 at 8:26 | history | edited | Taras Banakh | CC BY-SA 4.0 |
added 143 characters in body
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| Nov 9, 2018 at 17:28 | vote | accept | Taras Banakh | ||
| Nov 9, 2018 at 12:59 | answer | added | KP Hart | timeline score: 6 | |
| Sep 20, 2018 at 19:49 | comment | added | KP Hart | For what it's worth: every compactification with the ordinal $\omega_1+1$ as its remainder is soft. | |
| Sep 1, 2018 at 6:06 | history | edited | Taras Banakh | CC BY-SA 4.0 |
Added remarks and problems
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| Sep 1, 2018 at 6:01 | history | edited | Taras Banakh | CC BY-SA 4.0 |
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| Sep 1, 2018 at 5:56 | comment | added | Taras Banakh | @მამუკაჯიბლაძე I added (to my question) some known information about (soft) Parovichenko spaces. | |
| Sep 1, 2018 at 5:17 | comment | added | მამუკა ჯიბლაძე | Is there a characterization of non-(either soft or not) Parovichenko compacts? | |
| Sep 1, 2018 at 4:40 | history | asked | Taras Banakh | CC BY-SA 4.0 |