Some topological properties of the spaces \(exp X\), \(\lambda X\) and \(NX\). (English) Zbl 1474.54055
Summary: In this paper we prove that the exponential functor \(exp\) and the functor of superextension \(\lambda\) preserve some topological properties with respect to the topology of any \(T_1\)-space, and the functor of complete linked systems \(N\) preserves some topological properties with respect to the topology of any compact space.
MSC:
| 54B20 | Hyperspaces in general topology |
| 54A25 | Cardinality properties (cardinal functions and inequalities, discrete subsets) |
Keywords:
\(\pi\)-base; exponential functor \(exp\); the functor of superextension \(\lambda\); the functor of complete linked systems \(N\)References:
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