Paul Gartside

activity

20142016

collaborators

3 papers

math.GN2016

The Tukey Order and Subsets of $ω_{1}$

Paul Gartside, Ana Mamatelashvili

One partially ordered set, $Q$ , is a Tukey quotient of another, $P$ , if there is a map $ϕ : P \to Q$ carrying cofinal sets of $P$ to cofinal sets of $Q$ . Two partial orders which ar…

math.GN2015

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

Ziqin Feng, Paul Gartside, Jeremiah Morgan

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

math.GN2014

Point Networks for Special Subspaces of $R^{κ}$

Ziqin Feng, Paul Gartside

Uniform characterizations of certain special subspaces of products of lines are presented. The characterizations all involve a collection of subsets (base, almost subbase, network…

The Tukey Order and Subsets of ω1​

P-Paracompact and P-Metrizable Spaces

Point Networks for Special Subspaces of Rκ

The Tukey Order and Subsets of $ω_{1}$

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

Point Networks for Special Subspaces of $R^{κ}$