Regular interval Cantor sets of S and minimality

نویسنده

  • Aldo Portela
چکیده

1 It is known that not every Cantor set of S is C-minimal. In this work we prove that every member of a subfamily of the called regular interval Cantor set is not C-minimal. We also prove in general, for a even large class of Cantor sets, that any member of such family can be C-minimal, for any 2 > 0.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Analytical aspects of the interval unilateral quadratic matrix equations and their united solution sets

This paper introduces the emph{interval unilateral quadratic matrix equation}, $IUQe$ and attempts to find various analytical results on its AE-solution sets in which $A,B$ and $CCC$ are known real interval matrices, while $X$ is an unknown matrix. These results are derived from a generalization of some results of Shary. We also give sufficient conditions for non-emptiness of some quasi-solutio...

متن کامل

The approximate solutions of Fredholm integral equations on Cantor sets within local fractional operators

In this paper, we apply the local fractional Adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of Fredholm integral equations of the second kind within local fractional derivative operators. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools ...

متن کامل

Minimality of the Group Aut(c)

We investigate the minimality property of the group of homeomor-phisms AUT(C) of some compact set C: In particular we show that for C = 0;1] n the corresponding group is minimal ii n = 1: Also we prove the minimality of AUT(D 1); where D 1 is a Cantor cube with a countable weight. These results partially answer the general question raised by Prodanov and Stojanov ((2]) , Dierolf et.al. ((3]) an...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006