On Relative 1½-StarLindelöfness

A subspace Y of a space X is strongly 1½-starLindelöf in X if for every open cover U of X, there exists a countable subset ν of U such that V(intersection)Y≠Ф for each V Є ν and Y (subset of)(equal)St( Uν, U), where St( Uν, u) =U {U Є u : U(intersection)(union)ν≠Ф}. A subspace Y of a space X is 1½-starLindelöf in X if for every open cover u of X, there exists a countable subset νof u such that Y (subset of)(equal)St(Uν, u). In this paper, we give an example to show the difference between relative strongly 1½-starLindelöfness and relative 1½-starLindelöfness.