21 citations · 69 across the 17 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.GN2021★ 2 cited
A Hofmann-Mislove theorem for approach spaces
Junche Yu, Dexue Zhang
The Hofmann-Mislove theorem says that the ordered set of open filters of the open-set lattice of a sober topological space is isomorphic to the ordered set of compact saturated set…
math.GN2021
Sober topological spaces valued in a quantale
Dexue Zhang, Gao Zhang
The notion of sobriety is extended to the realm of topological spaces valued in a commutative and unital quantale, via an adjunction between a category of quantale modules and the…
math.GN2021
Continuous [0,1]-lattices and injective [0,1]-approach spaces
Junche Yu, Dexue Zhang
In 1972, Dana Scott proved a fundamental result on the connection between order and topology which says that injective spaces are precisely continuous lattices endowed with S…