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The $\pi$-weights and $\pi$-characters of hyperspaces with the hit-and-miss topologies
Hou, Ji-Cheng
1998
Abstract
We prove that $\pi w\left(\Delta\left(x\right)\right)=\pi\chi\left(\Delta\left(x\right)\right)=\textrm{max}\left\{ \pi w\left(x\right),\tau k\left(\Delta\right)\right\} $
for the hit-and-miss topologies $\tau\Delta$ on the closed subsets
of either a quasi-regular and $\mathbf{R}_{0}$ or $T_{1}$ space
$\left(X,\tau\right)$, where $\tau k\left(\Delta\right)$ is a cardinal
invariant associted with $\Delta$.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
30 (1998)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Ji-Cheng Hou, "The $\pi$-weights and $\pi$-characters of hyperspaces with the hit-and-miss topologies", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 30 (1998), pp. 71-80.
Languages
en
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