$Z$-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.
@article{118890, author = {Venu G. Menon}, title = {A note on topology of $Z$-continuous posets}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {37}, year = {1996}, pages = {821-824}, zbl = {0888.06005}, mrnumber = {1440713}, language = {en}, url = {http://dml.mathdoc.fr/item/118890} }
Menon, Venu G. A note on topology of $Z$-continuous posets. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 821-824. http://gdmltest.u-ga.fr/item/118890/
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