An example of a regular Cantor set whose difference set is a Cantor set with positive measure
type: Item
instance of: scholarly article
title: An example of a regular Cantor set whose difference set is a Cantor set with positive measure
zbMATH Open document ID: 0787.58028
published in: Hokkaido Mathematical Journal
publication date: 1992-09-26T00:00:00Z
review text: We give an example of a regular Cantor set whose self-difference set is a Cantor set and, at the same time, has a positive measure. This is a counter-example of one of the questions posed by J. Palis related to homoclinic bifurcation of surface diffeomorphisms.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37E99
zbMATH DE Number: 55916
zbMATH Keywords: regular Cantor set
zbMATH Keywords: self-difference set
zbMATH Keywords: positive measure
author: Atsuro Sannami
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381413267
OpenAlex ID: W2005950898
DOI: 10.14492/HOKMJ/1381413267
description: scientific article; zbMATH DE number 55916