Near ultrafilters and compactifications
type: Item
instance of: scholarly article
title: Near ultrafilters and compactifications
zbMATH Open document ID: 0878.22001
DOI: 10.1007/PL00005915
author: M. Koçak
author: D. Strauss
published in: Semigroup Forum
publication date: 1997-08-07T00:00:00Z
review text: The author describes the compactification \(X\) of a uniform space \(X\) in terms of the concept of near ultrafilters. He is motivated by the Stone-Čech compactification. The investigation of near ultrafilters is a natural and useful method for describing \(X\). In the paper conditions are investigated for the semigroup compactification and for the compactification of the space of real numbers with its standard uniform structure. The new construction, based on near ultrafilters, is also a generalization of the Wallman compactification.
Mathematics Subject Classification ID: 22A15
Mathematics Subject Classification ID: 54D35
zbMATH DE Number: 1045582
zbMATH Keywords: compactification
zbMATH Keywords: uniform space
zbMATH Keywords: near ultrafilters
zbMATH Keywords: Stone-Čech compactification
zbMATH Keywords: semigroup compactification
zbMATH Keywords: Wallman compactification
reviewed by: Bohumil František Šmarda
MaRDI profile type: Publication
full work available at URL: pl00005915
OpenAlex ID: W2077363294
description: scientific article; zbMATH DE number 1045582