Wallman-Frink proximities
type: Item
instance of: scholarly article
zbMATH Open document ID: 0990.54023
publication date: 2002-05-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0204138
full work available at URL: 25.htm
Mathematics Subject Classification ID: 54E05
Mathematics Subject Classification ID: 54D35
Mathematics Subject Classification ID: 54A10
zbMATH DE Number: 1727767
zbMATH Keywords: Efremovic proximity
zbMATH Keywords: \(p\)-map
zbMATH Keywords: Wallman-Frink compactification
zbMATH Keywords: Gagrat-Naimpally compactification
zbMATH Keywords: Lodato proximity
zbMATH Keywords: Smirnov compactification
zbMATH Keywords: normal base
author: Marlon C. Rayburn
MaRDI profile type: Publication
arXiv ID: math/0204138
title: Wallman-Frink proximities
review text: In [Fundam. Math. 71, 63-76 (1971; Zbl 0188.27902)] \textit{M. S. Gagrat} and \textit{S. A. Naimpally} discovered a \(T_1\) compactification of a separated Lodato proximity space. This generalized the well-known Smirnov compactification but lacked some of its nice properties. In this article, the author has admirably succeeded in restoring some of these by constructing a Wallman-Frink type of compactification using a normal base. For related work see [\textit{M. S. Gagrat} and \textit{S. A. Naimpally}, J. Aust. Math. Soc. 15, 417-427 (1973; Zbl 0265.54023)].NEWLINENEWLINEFor the entire collection see [Zbl 0983.00046].
reviewed by: S. Naimpally
description: scientific article; zbMATH DE number 1727767