
handle: 11570/2270421
Summary: A new class of functions, called `almost \(\gamma\)-continuous' is introduced and several of their properties are investigated. This new class is utilized to improve some already published results concerning weak continuity [\textit{N. Levine}, Am. Math. Mon. 68, 44--46 (1961; Zbl 0100.18601)] and \(\gamma\)-continuity [the first author and \textit{G. Lo Faro}, Matematiche 35, 1--17 (1980; Zbl 0533.54005)].
gamma continuity, \(u\)-weak continuity, Weak and generalized continuity, weak continuity, Extension of maps, faint continuity
gamma continuity, \(u\)-weak continuity, Weak and generalized continuity, weak continuity, Extension of maps, faint continuity
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