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Sep 3, 2018 at 19:11 answer added KP Hart timeline score: 1
Aug 5, 2018 at 7:01 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
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May 7, 2018 at 5:25 answer added D.S. Lipham timeline score: 0
May 7, 2018 at 4:12 comment added D.S. Lipham Regarding your conjecture: (1) In $\beta Y$ quasicomponents and components are the same thing. (2) The quasicomponent decomposition space $Y/\sim$ is zero dimensional Tychonoff. Let $\beta\varphi:\beta Y\to \beta(Y/\sim)$ extend the epimorphism $\varphi:Y\to Y/\sim$. Then I think (?) what you are asking is: Are the components of $\beta Y$ the same as the non-empty point inverses of $\beta\varphi$? (3) I wonder how this goes if $Y$ is zero-dimensional but not strongly zero dimensional? Here $\beta Y$ contains a non-degenerate continuum, though $Y$ has very fine clopen structure.
May 6, 2018 at 23:19 history edited Daron CC BY-SA 4.0
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May 6, 2018 at 19:37 history edited Daron CC BY-SA 4.0
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May 6, 2018 at 19:32 history asked Daron CC BY-SA 4.0