In this paper, we prove the following statements: (1) If X is a normal discretely absolutely star-Lindel" of space with e(X) < ω 1 , then the Alexandro. duplicate A(X ) of X is discretely absolutely star-Lindel" of. (2) If X is a space with e(X) ≥ ω 1 , then A(X) is not discretely absolutely star-Lindel" of. The two statements answer a question raised by Song.
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