Some topological and cardinal properties of the \(\lambda_\tau^\varphi \)-nucleus of a topological space \(X \). (English) Zbl 1521.54002
Summary: In this paper, we study the behavior of some topological and cardinal properties of topological spaces under the influence of the \(\lambda_{\tau}^{\varphi}\)-kernel of a topological space \(X\). It has been proved that the \(\lambda_{\tau}^{\varphi}\)-kernel of a topological space \(X\) preserves the density and the network \(\pi \)-weight of normal spaces.
MSC:
| 54A25 | Cardinality properties (cardinal functions and inequalities, discrete subsets) |
| 54B30 | Categorical methods in general topology |
Keywords:
separable; locally separable; weakly separable; locally weakly separable; probability measureReferences:
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