A characterization of productive cellularity
General Topology
2020-10-16 v3 Logic
Abstract
We investigate the notion of productive cellularity of arbitrary posets and topological spaces. Particularly, by working with families of antichains ordered with reverse inclusion, we give necessary and sufficient conditions to determine whether a poset or a topological space is productively ccc.
Cite
@article{arxiv.2005.10325,
title = {A characterization of productive cellularity},
author = {Renan Maneli Mezabarba and Leandro Fiorini Aurichi and Lucia Renato Junqueira},
journal= {arXiv preprint arXiv:2005.10325},
year = {2020}
}