H. Barriga-Acosta

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20202025

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math.GN2021

Box and Nabla Products that are D-Spaces

Hector A. Barriga-Acosta, Paul M. Gartside

A space $X$ is $D$ if for every assignment, $U$ , of an open neighborhood to each point $x$ in $X$ there is a closed discrete $D$ such that $⋃ {U (x) : x \in D} = X$ . The box p…

math.GN2020

Monotone Normality and Nabla-Products

Hector A. Barriga-Acosta, Paul M. Gartside

Roitman's combinatorial principle $Δ$ is equivalent to monotone normality of the nabla product, $\nabla (ω + 1)^{ω}$ . If ${X_{n} : n \in ω}$ is a family of metrizable spaces and $\nabl…