Lower bounds of sets of P-points

Borisa Kuzeljevic, Dilip Raghavan, Jonathan L. Verner

Published 2022-04-26Version 1

We show that $\mathrm{MA}_{\kappa}$ implies that each collection of ${P}_{\mathfrak c}$-points of size at most $\kappa$ which has a $P_{\mathfrak c}$-point as an $RK$ upper bound also has a ${P}_{\mathfrak c}$-point as an $RK$ lower bound.