Specker spaces and their absolutes. I
type: Item
instance of: scholarly article
title: Specker spaces and their absolutes. I
zbMATH Open document ID: 0856.54039
DOI: 10.1016/0166-8641(96)00026-0
author: Angelo Bella
author: Anthony W. Hager
author: S. Woodward
author: Hao Zhou
author: Jorge Martinez
published in: Topology and its Applications
publication date: 1996-10-20T00:00:00Z
review text: A (Tikhonov) space is Specker if for each nonzero real-valued continuous function there is a nontrivial clopen set on which it is constant and nonzero. It is shown that in general the absolute of a Specker space need not be Specker, but that absolutes of members of several interesting classes of spaces must be Specker. Stone duals of Specker spaces are studied, and totally ordered Specker spaces are characterized.
Mathematics Subject Classification ID: 54G05
Mathematics Subject Classification ID: 54C30
Mathematics Subject Classification ID: 06B30
Mathematics Subject Classification ID: 06E99
Mathematics Subject Classification ID: 06E15
zbMATH DE Number: 937142
zbMATH Keywords: absolute
zbMATH Keywords: \((\omega,2)\)-distributivity
zbMATH Keywords: Specker space
reviewed by: R. G. Woods
MaRDI profile type: Publication
full work available at URL: 0166-8641(96)00026-0
OpenAlex ID: W2061951743
cites work: Algebras and Spaces of Dense Constancies
cites work: Q5751562
cites work: Stone-Čech compactification of a product
cites work: Q4369841
cites work: Specker spaces and their absolutes. II
cites work: Q4039810
cites work: Iterated Cohen extensions and Souslin's problem
description: scientific article; zbMATH DE number 937142