Wallman compactification in FTS (Q1802707)

In the paper under review, the codomain of fuzzy sets is the unit interval and the fuzzy topology contains all constants. Using Shanin's generalization of Wallman's construction [\textit{N. A. Shanin}, C. r. Acad. Sci. URSS, n. Sér. 38, 154-156 (1943; Zbl 0061.396)], the authors construct a good extension of Wallman's compactification for all fuzzy topological spaces. The construction extends the earlier one in fuzzy neighborhood spaces. Moreover, the construction describes explicitly the closed fuzzy sets and a fortiori the convergence of prefilter in the compactification.