Ultrafilters and mappings
type: Item
instance of: scholarly article
title: Ultrafilters and mappings
zbMATH Open document ID: 0533.54006
author: Takesi Isiwata
published in: Pacific Journal of Mathematics
publication date: 1983-01-01T00:00:00Z
review text: The following types of continuous functions between completely regular spaces are considered: closed, quasi-perfect, d-, \(d^*\)-, d'-, sd-, sd'-, nd-cp-, \(d_ 1\)-, \(d_ 2\)-, *-open, Z-, WZ-, \(W^*\)-open, N-, WN-, \(W_ rN\)-, hyper-real. For the most types, a characterization in terms of closed or open ultrafilters is given. There are also stated some possible relationships between those functions and various properties of generalized realcompact spaces.
Mathematics Subject Classification ID: 54C10
Mathematics Subject Classification ID: 54D60
Mathematics Subject Classification ID: 54A25
zbMATH DE Number: 3846432
zbMATH Keywords: Čech-Stone extension
zbMATH Keywords: characterization of maps by closed (open) ultrafilters
zbMATH Keywords: closed maps
zbMATH Keywords: quasi-perfect maps
zbMATH Keywords: d-maps
zbMATH Keywords: *-open maps
zbMATH Keywords: Z- maps
zbMATH Keywords: WZ-maps
zbMATH Keywords: N-maps
zbMATH Keywords: WN-maps
zbMATH Keywords: generalized realcompact spaces
reviewed by: A. Szymański
MaRDI profile type: Publication
full work available at URL: pjm.1983.104.371
OpenAlex ID: W1980379621
DOI: 10.2140/PJM.1983.104.371
description: scientific article; zbMATH DE number 3846432