A characterization of productive cellularity

Aurichi, Leandro; Junqueira, Lúcia; Mezabarba, Renan

doi:10.1090/proc/15822

A characterization of productive cellularity
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by Leandro F. Aurichi, Lúcia R. Junqueira and Renan M. Mezabarba PDF

Proc. Amer. Math. Soc. 150 (2022), 2249-2257 Request permission

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.

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