Formal balls of Q-categories

نویسندگان

چکیده

The construction of the formal ball model for metric spaces due to Edalat and Heckmann was generalized Q-categories by Kostanek Waszkiewicz, where Q is a commutative unital quantale. This paper concerns influence structure quantale on connection between Yoneda completeness directed their sets balls. In case that unit interval [0, 1] equipped with continuous t-norm &, it shown in order each Q-category be equivalent its set balls, necessary sufficient condition & Archimedean.

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ژورنال

عنوان ژورنال: Categories and general algebraic structures with applications

سال: 2023

ISSN: ['2345-5853', '2345-5861']

DOI: https://doi.org/10.52547/cgasa.2022.102914