Some Remarks on Almost Menger Spaces and Weakly Menger Spaces
نویسنده
چکیده
{V : V ∈ Vn} = X . Clearly, every Menger space is almost Menger and every almost Menger space is weakly Menger, but the converses do not hold (see Examples 2.1 and 2.2). On the study of weakly Menger spaces, almost Menger spaces and Menger spaces, the readers can see the references [2, 3, 4, 5, 6]. Here we investigate the relationships among almost Menger spaces, weakly Menger spaces and Menger spaces, and also study topological properties of almost Menger spaces and weakly Menger spaces. Throughout this paper, the cardinality of a set A is denoted by |A|. Let ω be the first infinite cardinal and ω1 the first uncountable cardinal. As usual, a cardinal
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