Continuous functions and minimal regularity
type: Item
instance of: scholarly article
title: Continuous functions and minimal regularity
zbMATH Open document ID: 0564.54010
DOI: 10.1216/RMJ-1984-14-3-585
author: Dix H. Pettey
published in: Rocky Mountain Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: Filterbases are used to characterize the \(T_ 3\) spaces all of whose \(T_ 3\) continuous images are minimal regular and the \(T_ 3\) spaces all of whose \(T_ 3\) continuous images are strongly minimal regular. Also a construction is given for a noncompact \(T_ 3\) space whose every \(T_ 3\) continuous image is strongly minimal regular; additionally this space has the property that there is a decreasing chain of nonempty, strongly minimal regular subspaces such that the intersection of these subspaces is empty.
Mathematics Subject Classification ID: 54D20
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54D25
zbMATH DE Number: 3899726
zbMATH Keywords: R-closed space
zbMATH Keywords: (strongly) minimal regular space
zbMATH Keywords: Filterbases
zbMATH Keywords: \(T_ 3\) continuous images
reviewed by: Douglas E. Cameron
MaRDI profile type: Publication
full work available at URL: rmj-1984-14-3-585
OpenAlex ID: W2024265868
description: scientific article; zbMATH DE number 3899726