Scholarlink

Abstract <p> A method of working with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(f\)</EquationSource> </InlineEquation>-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. </p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Functional Approach to the Study of Normality Properties of Mappings

  • 期刊论文

  • 发表日期：

    2025年8月1日

查看全文
  • M. Yu. Liseev

摘要

Abstract

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.