A visit to the Erdős problem
type: Item
instance of: scholarly article
title: A visit to the Erdős problem
zbMATH Open document ID: 0981.28500
published in: Real Analysis Exchange
publication date: 1998-03-29T00:00:00Z
review text: From author's introduction: On several occasions Erdős has asked the following: {Question:} Is it true that for every infinite set \(A\) of real numbers there exists a measurable set of positive measure that does not contain a subset similar to \(A\)? In this note we first give some history of the papers related to the Erdős question and then show how to transform the question into a finite combinatorial problem. Finally, we point out how to use this combinatorial setting to extend some of the known results on the Erdős question.
Mathematics Subject Classification ID: 28A75
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 03E15
zbMATH DE Number: 1134751
zbMATH Keywords: similar set
zbMATH Keywords: real numbers
zbMATH Keywords: measurable subset of the reals
author: Paul D. Humke
author: M. Laczkovich
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1134751