The diagonal limits of Hamming spaces

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• ISSN: 1726-3255
• Main Author: Oliynyk, B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152291
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The diagonal limits of Hamming spaces / B. Oliynyk // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 229–236. — Бібліогр.: 6 назв. — англ.

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...