On convergent sequences in the Stone space of one Boolean algebra

摘要

We consider the Stone space of the Boolean algebra, constructed by M.G. Bell (see Example 2.1 in [2]), which is the compactification, BN, of the countable discrete space N. Here we consider convergent sequences in BNN.n We prove that if a point x is an element of BNN is the limit of some sequence {s(n) : n is an element of omega} from N, or a point x is an element of [A]A, where A subset of N is a strict anti-chain in N, then there is a sequence in BNN, that converges to x.n We also prov