15 citations · 89 across the 17 of their papers we have counts for
7 papers · 1 filter
A Note on the Topologicity of Quantale-Valued Topological Spaces
Hongliang Lai, Walter Tholen
For a quantale , the category - of -valued topological spaces may be introduced as a full subcategory of those -valued closure space…
Monads on Q-Cat and their lax extensions to Q-Dist
Hongliang Lai, Walter Tholen
For a small quantaloid , we consider 2-monads on the 2-category - and their lax extensions to the 2-category - of small…
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.…
Regularity vs. constructive complete (co)distributivity
Hongliang Lai, Lili Shen
It is well known that a relation between sets is regular if, and only if, is completely distributive (cd), where is the complete lattice consistin…
Lax distributive laws for topology, II
Hongliang Lai, Lili Shen, Walter Tholen
For a small quantaloid we consider four fundamental 2-monads on , given by the presheaf 2-monad and the copres…
Quantale-valued Approach Spaces via Closure and Convergence
Hongliang Lai, Walter Tholen
For a quantale we introduce -approach spaces via -valued point-set-distance functions and, when is completely distributive, charac…