Geodesic
A note on topology of $Z$-continuous posets
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 821-824

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$Z$-continuous posets are common generalizations of continuous posets, completely distributive lattices, and unique factorization posets. Though the algebraic properties of $Z$-continuous posets had been studied by several authors, the topological properties are rather unknown. In this short note an intrinsic topology on a $Z$-continuous poset is defined and its properties are explored.
Classification : 06B30, 06B35, 54F05
Keywords: $Z$-continuous posets; intrinsic topology 
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Menon, Venu G. A note on topology of $Z$-continuous posets. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 821-824. http://geodesic.mathdoc.fr/item/CMUC_1996__37_4_a14/