Abstract:
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].
