Remarks on selectively (a)-spaces

In this paper, we continue to study the versions of property (a), and show the following statements:(1) exists a Tychonoff countably compact space X such that AD ( X ) is selectively (a), but X is not selectively (a); exists a Tychonoff selectively (a)-space X having a regular-closed subspace which is not selectively (a); ng 2 ℵ 0 = 2 ℵ 1 , there exists a normal space X that is not selectively (a); s a normal selectively (a)-space with e ( X ) < ω 1 , then AD ( X ) is selectively (a). atement (1) answers negatively Caserta, Di Maio and Kočinac (2011) [1, Question 2.11].