Hit-and-miss topologies - Open Access .click

Advances in Imaging and Electron Physics, 2020
The algebraic properties of the morphological operators are important but they are not alone in this. Topological properties can be equally important and are explored in depth in this chapter. The basic elements of topology are summarized, followed by those of metric spaces, notably the Hausdorff metric.
Henk J A M Heijmans
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Menger and Menger-type star selection principles for hit-and-miss topology

Topology and its Applications, 2021
Recall that \({{\left[ A \right]}^{
Ricardo Cruz-Castillo +2 more
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Star and strong star-type versions of Rothberger and Menger principles for hit-and-miss topology

Topology and its Applications, 2021
Let \(X\) be a space and denote by \(\mathcal{D}\) the family of dense subsets in the hyperspace of nonempty closed subsets with the hit-and-miss topology. The reviewer in [\textit{Z. Li}, Topology Appl. 212, 90--104 (2016; Zbl 1355.54014)] defined the concepts of \(\pi_{F}\)-network and \(\pi_{V}\)-network, obtaining many interesting results.
Ricardo Cruz-Castillo +2 more
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hyperspaces in general topology
vietoris topology
star selection principles

hyperspaces
hausdorff metric