$P$-Paracompact and $P$-Metrizable Spaces

Ziqin Feng, Paul Gartside, Jeremiah Morgan

Let $P$ be a directed set and $X$ a space. A collection $\mathcal{C}$ of subsets of $X$ is \emph{$P$-locally finite} if $\mathcal{C}=\bigcup \{{\mathcal{C}}_p:p\in P\}$ where (i)…