Compactness in the endograph uniformity




Fuzzy sets, Endograph uniformity, Endograph metric, Sendograph uniformity, Sendograph metric, Completeness, Compactness


Given a uniform space (X,U), we denote by F*(X) to the family of fuzzy sets u in (X,U) such that u is normal and upper semicontinuous. Let UE be the endograph uniformity on F*(X). In this paper, we mainly characterize totally bounded and compact substes in the uniform space (F*(X),UE).



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Author Biography

Iván Sánchez, Universidad Autónoma Metropolitana

Departamento de Matemáticas


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How to Cite

I. . Sánchez, “Compactness in the endograph uniformity”, Appl. Gen. Topol., vol. 25, no. 1, pp. 199–211, Apr. 2024.



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