$\mathsf{SOCA}$ and $\mathsf{OGA}$ for $\mathsf{HL}$ spaces with strong properties

José Antonio Corona-García, Iván Ongay-Valverde, Ulises Ariet Ramos-García

We study open colorings in certain classes of hereditary Lindelöf ($\mathsf{HL}$) spaces and submetrizable spaces. In particular, we show that the definible version for the Open Gr…