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Regular interval Cantor sets of S 1 and minimality

Regular interval Cantor sets of S 1 and minimality It is known that not every Cantor set of S 1 is C 1-minimal. In this work we prove that every member of a subfamily of what we here call regular interval Cantor set is not C 1-minimal. We also prove that no member of a class of Cantor sets that includes this subfamily is C 1+∈-minimal, for any ∈ > 0. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Regular interval Cantor sets of S 1 and minimality

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Springer
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-009-0002-3
Publisher site
See Article on Publisher Site

Abstract

It is known that not every Cantor set of S 1 is C 1-minimal. In this work we prove that every member of a subfamily of what we here call regular interval Cantor set is not C 1-minimal. We also prove that no member of a class of Cantor sets that includes this subfamily is C 1+∈-minimal, for any ∈ > 0.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Mar 29, 2009

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