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What's an example of an ordered set other than R that obeys the first 3 Suslin conditions? (en.wikipedia.org)

submitted 1 year ago by [email protected] to c/[email protected]

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[–] [email protected] 2 points 1 year ago* (last edited 1 year ago)

Yeah that should work I think. Maybe more interesting would be whether there exists an example which is not locally homeomorphic to IR (I think you're example still fulfills that). But I believe that is solved by using something like the long line and looking at e.g. ω~0~\times 0. Is there an example that is nowhere locally homeomorphic to IR?

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