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math.CT2022
Formal balls of -categories
Xianbo Yang, Dexue Zhang
The construction of the formal ball model for metric spaces due to Edalat and Heckmann was generalized to -categories by Kostanek and Waszkiewicz. This paper concerns the…
math.CT2022
The double contravariant powerset monad in the Goguen category of fuzzy sets
Sijia Lu, Dexue Zhang
A monad is constructed in the Goguen category of fuzzy sets valued in a unital quantale, which is an analog of the double contravariant powerset monad in the category of sets. With…