Запис Детальніше

The diagonal limits of Hamming spaces

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Title The diagonal limits of Hamming spaces
 
Creator Oliynyk, Bogdana
 
Description We consider a continuum family of subspaces
of the Besicovitch–Hamming space on some alphabet B, naturally
parametrized by supernatural numbers. Every subspace is defined
as a diagonal limit of finite Hamming spaces on the alphabet B.
We present a convenient representation of these subspaces. Using
this representation we show that the completion of each of these
subspace coincides with the completion of the space of all periodic
sequences on the alphabet B. Then we give answers on two questions
formulated in [1].
 
Date 2015-11-25T09:53:30Z
2015-11-25T09:53:30Z
2013
 
Type Article
 
Identifier Oliynyk B. The diagonal limits of Hamming spaces / B. V. Oliynyk. // Algebra and Discrete Mathematics. - 2013. - Vol. 15, no. 2. - P. 229-236.
http://ekmair.ukma.edu.ua/handle/123456789/7322
 
Language ua
 
Relation Algebra and Discrete Mathematics