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Compact pospaces

Venu G. Menon — 2003

Commentationes Mathematicae Universitatis Carolinae

Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.

A note on topology of Z -continuous posets

Venu G. Menon — 1996

Commentationes Mathematicae Universitatis Carolinae

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.

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