A memo on chains and their topologies

Published 7 Dec 2013 in math.GN | (1312.2103v1)

Abstract: We summarize some facts on chains (totally ordered sets), from an order-theoretic and from a topological point of view. We highlight the fact that many classical theorems that are true for partially ordered sets under some completeness assumption remain true for chains without any kind of completeness.

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Paul Poncet

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