Timeline for Is a totally ordered, separable and connected topological space metrizable (in the order topology)?
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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May 24, 2021 at 11:50 | vote | accept | Crash Bandicoot | ||
Dec 18, 2020 at 12:41 | vote | accept | Crash Bandicoot | ||
May 24, 2021 at 11:50 | |||||
Feb 5, 2020 at 22:18 | comment | added | Henno Brandsma | The general condition for LOTS's is having a $G_\delta$ diagonal or a $\sigma$-locally countable base. Theory from the 1970's when LOTS's where studied more. | |
Feb 5, 2020 at 6:58 | comment | added | Taras Banakh | Yes, it is. But anyway some argument for proving this is necessary. Without connectedness you have a non-metrizable example of the double arrow space. | |
Feb 5, 2020 at 6:35 | comment | added | bof | Metrizable? Isn't the space described in the question homeomorphic to an interval of the real line? | |
Feb 5, 2020 at 5:52 | history | answered | Taras Banakh | CC BY-SA 4.0 |