The character of Bing's space
type: Item
instance of: scholarly article
title: The character of Bing's space
zbMATH Open document ID: 0636.54006
DOI: 10.1016/0166-8641(88)90009-0
author: Stephen Watson
published in: Topology and its Applications
publication date: 1988-01-01T00:00:00Z
review text: We investigate a canonical method of lowering the character of R. H. Bing's 1952 example G of a normal space which is not collectionwise Hausdorff. We show that adding \(\aleph_{\omega}\) Cohen reals to a model of CH produces a model in which there is a normal separable space of weight less than the continuum which is not collectionwise Hausdorff.
Mathematics Subject Classification ID: 54A35
Mathematics Subject Classification ID: 54G20
Mathematics Subject Classification ID: 54A25
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 03E05
zbMATH DE Number: 4036697
zbMATH Keywords: minimum character
zbMATH Keywords: Bing's space
zbMATH Keywords: non-collectionwise Hausdorffness
zbMATH Keywords: Cohen reals
zbMATH Keywords: CH
zbMATH Keywords: normal separable space
zbMATH Keywords: weight
MaRDI profile type: Publication
full work available at URL: 0166-8641(88)90009-0
OpenAlex ID: W1986131289
cites work: Metrization of Topological Spaces
cites work: Q3345418
cites work: Normal Moore Spaces in the Constructible Universe
cites work: Cofinality of the partial ordering of functions from Ω1 into Ω under eventual domination
cites work: New proofs of the consistency of the normal Moore space conjecture. I
cites work: Q3316192
description: scientific article; zbMATH DE number 4036697