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The diagonal limits of Hamming spaces

Vernadsky National Library of Ukraine

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Title The diagonal limits of Hamming spaces
 
Creator Oliynyk, B.
 
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 2019-06-09T15:32:29Z
2019-06-09T15:32:29Z
2013
 
Type Article
 
Identifier The diagonal limits of Hamming spaces / B. Oliynyk // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 229–236. — Бібліогр.: 6 назв. — англ.
1726-3255
2010 MSC:54B35, 54E35, 54E40.
http://dspace.nbuv.gov.ua/handle/123456789/152291
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України