# '22

36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

### "A characterization of productive cellularity"

#### Aurichi, Leandro

We 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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