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Can you clarify what you mean by order isomorphism? In the context of
LOTS, does this mean an order preserving self-homeomorphism on S with
the order topology?
William Elliot
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May 13, 2016, 7:00:09 AM5/13/16
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f:X -> Y is an (order) isomorphism between two (partially)
ordered sets X and Y when f is a surjection and for all
x,y in X, (x <= y iff f(x) <= f(y)), ie a surjective order
embedding.