15 citations · 89 across the 17 of their papers we have counts for
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math.CT2019★ 5 cited
Completely distributive enriched categories are not always continuous
Hongliang Lai, Dexue Zhang
In contrast to the fact that every completely distributive lattice is necessarily continuous in the sense of Scott, it is shown that complete distributivity of a category enriched…
math.CT2019★ 5 cited
Quantale-valued dissimilarity
Hongliang Lai, Lili Shen, Yuanye Tao +1
Inspired by the theory of apartness relations of Scott, we establish a positive theory of dissimilarity valued in an involutive quantale without the aid of negation. I…
cs.LO2019★ 2 cited
Multi-adjoint concept lattices via quantaloid-enriched categories
Hongliang Lai, Lili Shen
With quantaloids carefully constructed from multi-adjoint frames, it is shown that multi-adjoint concept lattices, multi-adjoint property-oriented concept lattices and multi-adjoin…