Timeline for Can the real line be embedded in a space $X$ such that all the nonempty open subsets of $X$ are homeomorphic?
Current License: CC BY-SA 4.0
7 events
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Aug 3, 2018 at 10:18 | vote | accept | Will Brian | ||
Aug 3, 2018 at 5:40 | history | edited | Taras Banakh | CC BY-SA 4.0 |
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Aug 3, 2018 at 4:48 | history | edited | Taras Banakh | CC BY-SA 4.0 |
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Aug 2, 2018 at 23:24 | comment | added | Will Brian | Thanks for this, Taras -- it is a clever idea. I will have to think a bit to convince myself that a back-and-forth argument will show that any nonempty subset of $\Xi$ is homeomorphic to $\Xi$. (I trust you're probably right, but I want to think through some of the details for myself.) | |
Aug 2, 2018 at 21:25 | history | edited | Taras Banakh | CC BY-SA 4.0 |
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Aug 2, 2018 at 7:18 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
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Aug 2, 2018 at 4:49 | history | answered | Taras Banakh | CC BY-SA 4.0 |