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Monotone normality and nabla products

Monotone normality and nabla products

Roitman’s combinatorial principle $\Delta $ is equivalent to monotone normality of the nabla product, $\nabla (\omega +1)^\omega $. If $\{ X_n : n\in \omega \}$ is a family of metrizable spaces and $\nabla _n X_n$ is monotonically normal, then $\nabla