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A CHARACTERIZATION OF PRODUCTIVE CELLULARITY

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Author(s):
Aurichi, Leandro F. ; Junqueira, Lucia R. ; Mezabarba, Renan M.
Total Authors: 3
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 150, n. 5, p. 9-pg., 2022-05-01.
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. (AU)

FAPESP's process: 17/09252-3 - Infinite combinatorics and hyperspaces in general topology
Grantee:Leandro Fiorini Aurichi
Support Opportunities: Regular Research Grants
FAPESP's process: 19/22344-0 - Infinite combinatorics and combinatorical games
Grantee:Leandro Fiorini Aurichi
Support Opportunities: Regular Research Grants