An ordered set of size \(\aleph_1\) with monochromatic maximal chains
type: Item
instance of: scholarly article
title: An ordered set of size \(\aleph_1\) with monochromatic maximal chains
zbMATH Open document ID: 0970.06002
DOI: 10.1023/A:1026501224586
published in: Order
publication date: 2001-10-16T00:00:00Z
review text: The authors show that there are two linear orders, each of cardinality \(\aleph_1\), such that its product \(P\) has the following property: For every \(A\subset P\), \(A\) or \(P\setminus A\) contains a maximal chain. The result is obtained by sharpening tools which had been used in an earlier paper by the authors to show the above result assuming the continuum hypothesis.
reviewed by: Martin Weese
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 03C62
Mathematics Subject Classification ID: 06A05
zbMATH DE Number: 1587193
zbMATH Keywords: gap
zbMATH Keywords: linear orders
zbMATH Keywords: maximal chain
MaRDI profile type: Publication
full work available at URL: a:1026501224586
OpenAlex ID: W1592860924
author: D. Duffus
author: T. Goddard
description: scientific article; zbMATH DE number 1587193