Extensions of Functions with a Closed Graph and Quasi-continuous Functions with a Closed Graph from Dense Subspaces

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2023-11-14 DOI:10.1007/s41980-023-00824-1

Jolanta Kosman

引用次数: 0

Abstract

Abstract In this paper, we prove some conditions for existence of an extension of a real (quasi-continuous) function with a closed graph defined on a given dense subset D of a topological space X to a (quasi-continuous) function with a closed graph on whole X .

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稠密子空间中闭图函数和闭图拟连续函数的扩展

摘要本文证明了在拓扑空间X的给定密集子集D上具有闭图的实数(拟连续)函数扩展到在整个X上具有闭图的(拟连续)函数的存在性条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.