8 citations · 24 across the 18 of their papers we have counts for
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A memo on chains and their topologies
Paul Poncet
We summarize some facts on chains (totally ordered sets), from an order-theoretic and from a topological point of view. We highlight the fact that many classical theorems that are…
Domain theory and mirror properties in inverse semigroups
Paul Poncet
Inverse semigroups are a class of semigroups whose structure induces a compatible partial order. This partial order is examined so as to establish mirror properties between an inve…
How regular can maxitive measures be?
Paul Poncet
We examine domain-valued maxitive measures defined on the Borel subsets of a topological space. Several characterizations of regularity of maxitive measures are proved, depending o…
Two-valued sigma-maxitive measures and Mesiar's hypothesis
Paul Poncet
We reformulate Mesiar's hypothesis [Possibility measures, integration and fuzzy possibility measures, Fuzzy Sets and Systems 92 (1997) 191-196], which as such was shown to be untru…
Pseudo-multiplications and their properties
Paul Poncet
We examine some properties of pseudo-multiplications, which are a special kind of associative binary relations defined on .
Pruning a poset with veins
Paul Poncet
We recall some abstract connectivity concepts, and apply them to special chains in partially ordered sets, called veins, that are defined as order-convex chains that are contained…