Covering Space in the Besicovitch Topology

نویسنده

  • Julien Cervelle
چکیده

This paper studies how one can spread points in the Besicovitch space in order to keep them far one from another. We first study the general case and then what happens if the chosen points are all regular Toeplitz configurations or all quasiperiodic configurations.

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

4 M ay 2 00 7 Surjunctivity for cellular automata in Besicovitch spaces

The Besicovitch pseudodistance measures the relative size of the set of points where two functions take different values; the quotient space modulo the induced equivalence relation is endowed with a natural metric. We study the behaviour of cellular automata in the new topology and show that, under suitable additional hypotheses, they retain certain properties possessed in the usual product top...

متن کامل

Surjunctivity for Cellular Automata in Besicovitch Spaces

The Besicovitch pseudodistance measures the relative size of the set of points where two functions take different values; the quotient space modulo the induced equivalence relation is endowed with a natural metric. We study the behavior of cellular automata in the new topology and show that, under suitable additional hypotheses, they retain certain properties possessed in the usual product topo...

متن کامل

6 M ay 2 00 7 Surjunctivity for cellular automata in Besicovitch spaces Silvio Capobianco

The Besicovitch pseudodistance measures the relative size of the set of points where two functions take different values; the quotient space modulo the induced equivalence relation is endowed with a natural metric. We study the behaviour of cellular automata in the new topology and show that, under suitable additional hypotheses, they retain certain properties possessed in the usual product top...

متن کامل

6 M ay 2 00 7 Surjunctivity for cellular automata in Besicovitch spaces

The Besicovitch pseudodistance measures the relative size of the set of points where two functions take different values; the quotient space modulo the induced equivalence relation is endowed with a natural metric. We study the behaviour of cellular automata in the new topology and show that, under suitable additional hypotheses, they retain certain properties possessed in the usual product top...

متن کامل

Topology of Language Classes

The implications of a specific pseudometric on the collection of languages over a finite alphabet are explored. In distinction from an approach in (Calude et al., 2009) that relates to collections of infinite or bi-infinite sequences, the present work is based on an adaptation of the “Besicovitch” pseudometric introduced by Besicovitch (1932) and elaborated in (Cattaneo et al., 1997) in the con...

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 2012