ON STRUCTURE OF H-SPACES

A pair (X , A) of a topological space X and a topological ring A is called an H-space, if for each closed subset F of X and x # F, there exists f ϵ C_A(X) such that f(x) # o_A and F ϵ Z(f) and a topological space X is called a V-space, [4], if for points a; b; c, and d of X, where a # b, there exists a continuous functions f of X into itself such that f(a) = c and f(b) = d. In this paper we investigate some properties of H-spaces. In addition to , we show that every H-space is not a V-space.