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Fixed points of order preserving surjections on partially ordered sets. (English) Zbl 0393.06001

MSC:

06A06 Partial orders, general
20M20 Semigroups of transformations, relations, partitions, etc.
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
54H25 Fixed-point and coincidence theorems (topological aspects)