Characterization of Transitivity in L-Tolerance Spaces by Convergence and Closure

Characterization of Transitivity in L-Tolerance Spaces by Convergence and Closure

We show that the category of quantale-valued tolerance spaces is isomorphic to a category of quantale-valued convergence spaces. We define suitable quantale-valued closure functions and use them to characterize transitivity axioms. Furthermore, transitivity is characterized by convergence and diagon...

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Bibliographic Details
Main Authors: Gunther Jäger, T. M. G. Ahsanullah
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Axioms
Subjects:
L-tolerance space
L-pretolerance convergence space
L-tolerance convergence space
L-closure function
L-equivalence relation
L-valued set
Online Access:https://www.mdpi.com/2075-1680/10/4/268

Internet

https://www.mdpi.com/2075-1680/10/4/268

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