Nice Hamel bases under the covering property axiom
type: Item
instance of: scholarly article
title: Nice Hamel bases under the covering property axiom
zbMATH Open document ID: 1083.26001
author: Janusz Pawlikowski
author: Krzysztof Chris Ciesielski
published in: Acta Mathematica Hungarica
publication date: 2006-01-26T00:00:00Z
review text: The main result of the paper says that the Covering Property Axiom CPA (game, prisms) introduced by the same authors [J. Appl. Anal. 9, No. 1, 19--55 (2003; Zbl 1038.03050)] implies that there exists a Hamel basis which is a union of less than continuum many pairwise disjoint perfect sets.
Mathematics Subject Classification ID: 26A03
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 03E65
Mathematics Subject Classification ID: 03E35
zbMATH DE Number: 5001790
zbMATH Keywords: Hamel base
zbMATH Keywords: CPA
zbMATH Keywords: rigid set
zbMATH Keywords: difference property
reviewed by: Jerzy Niewiarowski
MaRDI profile type: Publication
Wikidata QID: Q114011932
full work available at URL: b:amhu.0000049287.44877.2c
OpenAlex ID: W1969890359
DOI: 10.1023/B:AMHU.0000049287.44877.2C
description: scientific article; zbMATH DE number 5001790