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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 2 years ago by CanadaPlus to c/math

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[–] sqw 0 points 2 years ago (1 children)

any continuous function that maps R onto something else, maybe?

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[–] CanadaPlus 1 points 2 years ago

The range of such a function isn't guaranteed to to not be a real line again, though, and mapping it into a single point is an definite counterexample.

Or do you mean some kind of ordering of the space of all such functions, maybe?

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