PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 34(48), pp. 4953 (1983) 

ON FIXED EDGES OF ANTITONE SELFMAPPINGS OF COMPLETE LATTICESRade M. Daci\'cMatematicki institut SANU, Beograd, YugoslaviaAbstract: Studying fixed edges we start from a more general notionppairs and ppoints proving first that the set of all ppoints of an antitone selfmapping of a complete lattice $L$ is a sublattice of $L$. In this way we obtain as a direct consequence J. Klimes's Fixed edge Theorem and provide an easy proof of his Theorem 2. Besides, this approach sheds much more light on the treated problems. In the sequel (Theorem 2) we examine under which conditions a distinguished pair $(s,t)$ (see Notation) appearing in inconditionally complete posets is a fixed edge. In Theorem 3 the Problem in the text is solved in a special case. Classification (MSC2000): 06A10 Full text of the article:
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