On resolvable and irresolvable spaces
type: Item
instance of: scholarly article
title: On resolvable and irresolvable spaces
zbMATH Open document ID: 0798.54001
DOI: 10.1155/S016117129300081X
author: Chandan Chattopadhyay
author: Chhanda Bandyopadhyay
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1993-11-11T00:00:00Z
full work available at URL: https://eudml.org/doc/46996
review text: A topological space \(X\) is called resolvable if there exist two disjoint dense subsets of \(X\), otherwise \(X\) is called irresolvable. In this paper the authors investigate and characterize those spaces in which every open subspace is irresolvable. In addition they provide characterizations of minimal irresolvable topologies and maximal resolvable topologies.
Mathematics Subject Classification ID: 54A10
zbMATH DE Number: 438916
zbMATH Keywords: minimal irresolvable topologies
zbMATH Keywords: maximal resolvable topologies
reviewed by: Maximilian Ganster
MaRDI profile type: Publication
OpenAlex ID: W2091894387
description: scientific article; zbMATH DE number 438916