Timeline for Image of poset with Hausdorff interval topology
Current License: CC BY-SA 3.0
6 events
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Jan 25, 2015 at 12:56 | vote | accept | Dominic van der Zypen | ||
Jan 24, 2015 at 17:40 | comment | added | MikeTeX | @მამუკა ჯიბლაძე Yes, it is the same topology. The author just want to say that $[a, b]$ is a finite interval in the sense that $a$ and $b$ are not infinite, probably because it is the way Frink presented "closed intervals". Of course, this is unnecessary since "finite" intervals are obviously the intersection of two infinite intervals. | |
Jan 24, 2015 at 6:37 | comment | added | მამუკა ჯიბლაძე | In that paper of Northam the topology is defined slightly differently: closed sets are generated by those ${\downarrow}x$ and ${\uparrow}y$ which are infinite, together with those ${\downarrow}x\cap{\uparrow}y$ which are finite. Is this the same topology?? | |
Jan 23, 2015 at 16:49 | history | edited | Joel David Hamkins | CC BY-SA 3.0 |
added 144 characters in body
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Jan 23, 2015 at 16:34 | history | edited | Joel David Hamkins | CC BY-SA 3.0 |
added 17 characters in body
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Jan 23, 2015 at 16:26 | history | answered | Joel David Hamkins | CC BY-SA 3.0 |