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Weak chain-completeness and fixed point property for pseudo-ordered sets

S. Parameshwara Bhatta (2005)

Czechoslovak Mathematical Journal

In this paper the notion of weak chain-completeness is introduced for pseudo-ordered sets as an extension of the notion of chain-completeness of posets (see [3]) and it is shown that every isotone map of a weakly chain-complete pseudo-ordered set into itself has a least fixed point.

Well-quasi-ordering Aronszajn lines

Carlos Martinez-Ranero (2011)

Fundamenta Mathematicae

We show that, assuming PFA, the class of all Aronszajn lines is well-quasi-ordered by embeddability.

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