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On extremally disconnected spaces via $m$-structures

Takashi Noiri|Ahmad Al-Omari|Hanan Al-Saadi
대한수학회 (The Korean Mathematical Society)|2019.01|대한수학회논문집 (Communications of the KMS)|제34권 제1호|pp. 351-359|DOI 10.4134/CKMS.c170478

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참고문헌

키워드

$m$-structuremixed space$m$-hyperconnected$m$-extremally disconnected
주제분류수학

초록

In this paper, we introduce a modification of extremally disconnected spaces which is said to be $m$-extremally disconnected. And we obtain many characterizations of $m$-extremally disconnected spaces. The concepts of $*$-extremally disconnected spaces, $*$-hyperconnected spaces, and generalized hyperconnectedness are as examples for this paper.

Abstract

In this paper, we introduce a modification of extremally disconnected spaces which is said to be $m$-extremally disconnected. And we obtain many characterizations of $m$-extremally disconnected spaces. The concepts of $*$-extremally disconnected spaces, $*$-hyperconnected spaces, and generalized hyperconnectedness are as examples for this paper.

참고문헌 (17)

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