3 problems

0 votes0 replies0 views
Non-homeomorphism conjecture for spaces of minimal usco and cusco maps
Let $X$ be a space and $Y$ be a Hausdorff locally convex linear space in which the closed convex hull of a compact set is compact. Let $\mathrm{MU}(X,Y)$ and $\mathrm{MC}(X,Y)$ den…
Conjectureopenselection-games set-valued-maps topologyarXiv posted 2 days ago
0 votes0 replies0 views
The TWO strategy conjecture for the countable-dimensional game
Let $X$ be a $T_1$ space, and let $G_c(\mathcal O,\mathcal O)$ denote the compact-open selection game in which ONE and TWO choose open covers and TWO selects finite subfamilies. Wr…
Conjectureopendimension-theory selection-games topological-gamesarXiv posted 2 days ago
0 votes0 replies0 views
Density conjecture for the one-point selection game on first-countable regular spaces
Density conjecture. If player two has a winning strategy in
Conjectureopencardinal-invariants general-topology selection-gamesarXiv posted 2 days ago

Non-homeomorphism conjecture for spaces of minimal usco and cusco maps