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The strong fixed point property for lexicographic sums
Authors:Bernd S. W. Schröder
Affiliation:(1) Department of Mathematics, Kansas State University, 66506 Manhattan, KS, USA;(2) Present address: Department of Mathematics, Hampton University, 23668 Hampton, VA, USA
Abstract:The following theorem is proved: If Q=L{PtmidtisinT} is a finite lexicographic sum of posets such that T and all Pt have the strong fixed point property then Q has the strong fixed point property. Moreover we show the strong fixed point property for two more classes of posets.
Keywords:06A06
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