Completion and Samuel compactification of nearness and uniform frames.
type: Item
instance of: scholarly article
title: Completion and Samuel compactification of nearness and uniform frames.
zbMATH Open document ID: 1316.06008
DOI: 10.4171/PM/1908
author: Bernhard Banaschewski
author: A. Pultr
published in: Portugaliae Mathematica. Nova Série
publication date: 2012-08-02T00:00:00Z
review text: In the paper under review, the authors introduce a new compactness notion for frames: a regular frame is said to be near-compact if it is complete with respect to some totally bounded nearness. The resulting concept of the Samuel near-compactification for nearness frames is then used to describe the completion of a nearness frame. For uniform frames this Samuel near-compactification coincides with the Samuel compactification for frames developed by these authors in [Math. Proc. Camb. Philos. Soc. 108, No. 1, 63--78 (1990; Zbl 0733.54020)].
reviewed by: Tomasz Kubiak
Mathematics Subject Classification ID: 06D22
Mathematics Subject Classification ID: 54E17
Mathematics Subject Classification ID: 54E15
zbMATH DE Number: 6063072
zbMATH Keywords: completions of uniform frames
zbMATH Keywords: Samuel compactification
zbMATH Keywords: nearness frames
zbMATH Keywords: regular frames
zbMATH Keywords: Samuel near-compactification
MaRDI profile type: Publication
cites work: Q4440515
full work available at URL: https://doi.org/10.4171/pm/1908
OpenAlex ID: W2077953527
description: scientific article; zbMATH DE number 6063072