Abstract
The aim of this paper is to introduce and characterize the vividly (1, 2)-?-irresolute mapping and blurry (1, 2)-?-irresolute mapping. We also define (1, 2)-?-T2 spaces and (1, 2)-semi-preregular spaces. These spaces are characterized by a new class of open sets, called (1,2)-semipre-?-open sets. .
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