Random periodic point and fixed point results for random monotone mappings in ordered Polish spaces.
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Relaciones entre orden, normalidad y completa regularidad.
Enrique Tarazona Ferrandis (1981)
Stochastica
We study some relations whose compatibility with the topology is equivalent to normality or to complete regularity.
Relative directed homotopy theory of partially ordered spaces.
Kahl, Thomas (2006)
Journal of Homotopy and Related Structures
Remarks on the sobriety of Scott topology and weak topology on posets
He Wei, Jiang Shouli (2002)
Commentationes Mathematicae Universitatis Carolinae
We give some necessary and sufficient conditions for the Scott topology on a complete lattice to be sober, and a sufficient condition for the weak topology on a poset to be sober. These generalize the corresponding results in [1], [2] and [4].
Remarks on topologies uniquely determined by their continuous self maps
Jiří Rosický (1974)
Czechoslovak Mathematical Journal
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