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Merge S50 into S27 #278

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StevenClontz opened this issue Apr 2, 2023 · 5 comments
Closed

Merge S50 into S27 #278

StevenClontz opened this issue Apr 2, 2023 · 5 comments
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@StevenClontz
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StevenClontz commented Apr 2, 2023

See https://math.stackexchange.com/questions/1849271/homeomorphism-between-evenly-spaced-integer-topology-and-the-rationals which I'll attempt an answer to (though it follows as a corollary to the usual characterizations of the rationals). (EDIT: never mind, got to be too tedious to be worth the time, but would be an interesting student question someday...)

@prabau
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prabau commented Apr 2, 2023

Yeah, I knew about it, but tedious indeed. Sometimes it's useful to have two perspectives on a space, especially as the homeomorphism is not explicit.

@StevenClontz
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Agreed on usefulness of perspectives, unsure if the best way to handle it is having two IDs for the same space.

@prabau
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prabau commented Apr 2, 2023

For reference, some precedents of combining two homeomorphic spaces from Steen & Seebach:

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prabau commented Jan 22, 2024

@StevenClontz
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pi-base/web#134

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