3 papers
math.GN2025
An Adaptation of the Vietoris Topology for Ordered Compact Sets
Christopher Caruvana, Jared Holshouser
We discuss a natural topology on powers of a space that is inspired by the Vietoris topology on compact subsets. We then place this topology in context with other product topologie…
math.GN2025
Translation Results for some Selection Games with Minimal Cusco Maps
Christopher Caruvana, Jared Holshouser
We establish relationships between various topological selection games involving the space of minimal cusco maps into the real line and the underlying domain. These connections occ…
math.GN2025
An Excursion with Divergence Properties
Christopher Caruvana
In this note, we compare and contrast various selective divergence properties such as the properties of being discretely selective and selectively highly divergent. We identify and…