Develops a method to explore normality properties in mappings, indicating potential advancements in functional analysis.
A method of working with f -continuous functions on mappings is developed. The method is used to derive a constructive proof of Urysohn lemma for mappings. A variant of the Brouwer–Tietze–Urysohn theorem for mappings is proved. Functional characterizations are given for the normality properties of mappings. The notion of perfect normality of a mapping, which seems to be the most optimal, is introduced.
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M. Yu. Liseev (2025) studied this question.
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