Properties of hyperconnected spaces
type: Item
instance of: scholarly article
title: Properties of hyperconnected spaces
zbMATH Open document ID: 0818.54020
DOI: 10.1007/BF01874359
author: T. Noiri
published in: Acta Mathematica Hungarica
publication date: 1995-08-17T00:00:00Z
review text: A topological space is said to be hyperconnected if every pair of nonempty open subsets has nonempty intersection. In the present paper, characterizations of hyperconnected spaces using semi-preopen sets and almost feebly continuous functions are obtained. It is also shown that hyperconnectedness is preserved under surjective almost feebly continuous functions.
Mathematics Subject Classification ID: 54D05
zbMATH DE Number: 755498
zbMATH Keywords: semi-open set
zbMATH Keywords: hyperconnected space
zbMATH Keywords: semi-preopen sets
zbMATH Keywords: almost feebly continuous functions
zbMATH Keywords: hyperconnectedness
reviewed by: Richard G. Wilson
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 755498