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When a partial Borel order is linearizable

Vladimir Kanovei

math.LOarXiv:math/9704207

Abstract

We prove the following classification theorem of the ``Glimm -- Effros'' type for Borel order relations: a Borel partial order on the reals either is Borel linearizable or includes a copy of a certain Borel partial order which is not Borel linearizable.

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