Sign up or sign in

Clustering Properties of Convex-Valued Upper Semicontinuous (CUSCO) Functions

Jared Holshouser ⟨jholshou@norwich.edu⟩

Abstract:

We establish relationships between various topological selection games involving the space of minimal cusco maps into the real line and the underlying domain of those maps. These connections occur across different topologies, including the topology of pointwise convergence and the topology of uniform convergence on compacta. Full and limited-information strategies are investigated. The primary games we consider are Rothberger-like games, generalized point-open games, strong fan-tightness games, Tkachuk’s closed discrete selection game, and Gruenhage’s (W)-games.

Status: Accepted

Collection: Set-Theoretic Topology

Back to collection