This is an announcement for the paper “Chain conditions in free Banach lattices” by Antonio Aviléshttps://arxiv.org/find/math/1/au:+Aviles_A/0/1/0/all/0/1, Grzegorz Plebanekhttps://arxiv.org/find/math/1/au:+Plebanek_G/0/1/0/all/0/1, José David Rodríguez Abellánhttps://arxiv.org/find/math/1/au:+Abellan_J/0/1/0/all/0/1.
Abstract: We show that the free Banach lattice FBL$[E]$ generated by a Banach space $E$ satisfies the countable chain condition, and if the Banach space $E$ is moreover weakly compactly generated, then FBL$[E]$ satisifes Knaster's condition $K_2$.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1801.07027