On separatedness of reduced ideal-products
type: Item
instance of: scholarly article
title: On separatedness of reduced ideal-products
zbMATH Open document ID: 0897.54016
author: Milan Z. Grulović
author: Miloš S. Kurilić
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1998-10-06T00:00:00Z
review text: The authors consider some very specialized separation properties for a somewhat general topological space. The space is a quotient space obtained from the ideal-product space that they call the reduced ideal-product space. Their concern is with the infinitude of separation axioms between the \(T_2\) and \(T_3\) axioms known as \(\alpha\)-separatedness, where \(\alpha \in On\). The major result shows that the reduced ideal-product preserves \(n\)-separatedness for each \(n \in \omega.\) Thus these properties are preserved in all interesting topological products such as Tychonoff, box, ultraproducts and the like.
Mathematics Subject Classification ID: 54D10
Mathematics Subject Classification ID: 54B10
zbMATH DE Number: 1071703
zbMATH Keywords: \(\alpha\)-separatedness
zbMATH Keywords: ideal-product spaces
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1071703