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Linear orders: when embeddability and epimorphism agree
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Linear orders: when embeddability and epimorphism agree
classification
math.LO
keywords
linearordersstronglysurjectiveorderprovewhenagree
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When a linear order has an order preserving surjection onto each of its suborders we say that it is strongly surjective. We prove that the set of countable strongly surjective linear orders is complete for the class of sets which are the union of an analytic and a coanalytic set. Using hypotheses beyond ZFC, we prove the existence of uncountable strongly surjective orders.
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