The idea of A-summability was introduced by H. T. Bell1 which is a gen
eralization of the usual matrix summability of A = (a(nk)), where A de
notes the sequence of matrices {A(i)}. Let c(A) = {x : A x is converge
nt}, and v(A) = {x : A x is-an-element-of v}. In the present paper, we
study some topological properties of c(A) and v(A).