21 citations · 69 across the 17 of their papers we have counts for
4 papers · 1 filter
Sobriety of quantale-valued cotopological spaces
Dexue Zhang
For each commutative and integral quantale, making use of the fuzzy order between closed sets, a theory of sobriety for quantale-valued cotopological spaces is established based on…
Scott approach distance on metric spaces
Wei Li, Dexue Zhang
The notion of Scott distance between points and subsets in a metric space, a metric analogy of the Scott topology on an ordered set, is introduced, making a metric space into an ap…
Yoneda completeness and flat completeness of ordered fuzzy sets
Wei Li, Hongliang Lai, Dexue Zhang
This paper studies Yoneda completeness and flat completeness of ordered fuzzy sets valued in the quantale obtained by endowing the unit interval with a continuous triangular norm.…
Sober metric approach spaces
Wei Li, Dexue Zhang
It is proved that a metric space is sober, as an approach space, if and only if it is Smyth complete.