Some results in Generalized Serstnev spaces
Abstract
In this paper, we show that D-compactness in Generalized Serstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic Generalized Serstnev is not D-compact in general. Finally, in the finite dimensional Generalized Serstnev spaces a subset is D-compact if and only if is D-bounded and closed.
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