Alternate orders on subfields of the real numbers
type: Item
instance of: scholarly article
title: Alternate orders on subfields of the real numbers
zbMATH Open document ID: 0937.12004
author: James Foran
published in: Real Analysis Exchange
publication date: 2000-05-21T00:00:00Z
review text: This is an abstract of a talk based on a joint work of \textit{G.~P.~Barker, L.~Eifler, J.~Foran} and \textit{E.~Pirtle.} The authors are interested in the problem of finding a subfield \(T\) of the real line which would have more than one order which turns \(T\) into an ordered field. In fact, for any cardinal \(m\leq \mathbb C = 2^{\omega _0}\), the authors find a subfield \(T\) with \(2^m\) such orders.
reviewed by: Jan Pelant
Mathematics Subject Classification ID: 12J15
zbMATH DE Number: 1449387
zbMATH Keywords: ordered field
zbMATH Keywords: the real line
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1449387