Abstract

We prove that uniform Cantor sets of Hausdorff dimension 1 are all quasisymmetrically minimal for Hausdorff dimension. An analog of this result for packing dimension is also obtained. From the proof a general sufficient condition for minimal Cantor sets can be formulated.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.