The Dvoretzky-Hanani theorem for the group ``\(ax+b\)''
type: Item
instance of: scholarly article
title: The Dvoretzky-Hanani theorem for the group ``\(ax+b\)''
zbMATH Open document ID: 0906.22008
DOI: 10.1023/A:1004394619032
published in: Periodica Mathematica Hungarica
publication date: 1999-01-24T00:00:00Z
review text: The authors consider the group \(G\) of affine transformations of the line. They show that given a sequence \((g_k)^\infty_{k=1}\) converging to 1 in \(G\) there is a sequence of signs \(\varepsilon_k=\pm 1\) such that the infinite product \(\Pi^\infty_{k=1} g^{\varepsilon_k}_k\) is convergent.
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 40A20
zbMATH DE Number: 1244266
zbMATH Keywords: Dvoretzky-Hanani theorem
zbMATH Keywords: the group ``\(ax+b\)''
zbMATH Keywords: arrangements of signs
zbMATH Keywords: infinite products
author: Maria Banaszczyk
author: Wojciech Banaszczyk
reviewed by: L. Barchini
MaRDI profile type: Publication
full work available at URL: a:1004394619032
OpenAlex ID: W1834960278
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description: scientific article; zbMATH DE number 1244266