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math.GN2018★ 8 cited
Towards probabilistic partial metric spaces: Diagonals between distance distributions
Jialiang He, Hongliang Lai, Lili Shen
The quantale of distance distributions is of fundamental importance for understanding probabilistic metric spaces as enriched categories. Motivated by the categorical interpretatio…
math.GN2016★ 6 cited
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…