"A characterization of productive cellularity"Aurichi, LeandroWe present a characterization for when a ccc space $X$ is such that $X \times Y$ is ccc, for any ccc space $Y$. We extend this and investigate all the ``cellular spectrum'' of a space $X$: \[Sp(X) = \{\kappa \geq \aleph_0: \forall Y \ c(Y) \leq \kappa \Rightarrow c(X \times Y) \leq \kappa\},\] where $c(X)$ is the cellularity of $X$. This is a joint work with Lucia Junqueira and Renan Mezabarba. |
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