P. Gartside

activity

20082026

most citedSpaces with a Finite Family of Basic Functions

8 citations · 17 across the 19 of their papers we have counts for

collaborators

Showing 2015Show all

5 papers · 1 filter

math.GN2015★ 1 cited

Minimum Topological Group Topologies

Xiao Chang, Paul Gartside

A Hausdorff topological group topology on a group $G$ is the minimum (Hausdorff) group topology if it is contained in every Hausdorff group topology on $G$ . For every compact metri…

math.GN2015

Spaces l-Dominated by I or R

Paul Gartside, Ziqin Feng

If $X$ is compact metrizable and has finite fd-height then the unit interval, $I$ , $ℓ$ -dominates $X$ , in other words, there is a continuous linear map of $C_{p} (I)$ onto $C_{p} (X)$ .…

math.GN2015

Reconstructing Compact Metrizable Spaces

Paul Gartside, Max F. Pitz, Rolf Suabedissen

The deck, $D (X)$ , of a topological space $X$ is the set $D (X) = {[X ∖ {x}] : x \in X}$ , where $[Y]$ denotes the homeomorphism class of $Y$ . A spac…

math.GN2015

Reconstructing Topological Graphs and Continua

Paul Gartside, Max F. Pitz, Rolf Suabedissen

The deck of a topological space $X$ is the set $D (X) = {[X ∖ {x}] : x \in X}$ , where $[Z]$ denotes the homeomorphism class of $Z$ . A space $X$ is topologic…

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)…

Minimum Topological Group Topologies

Spaces l-Dominated by I or R

Reconstructing Compact Metrizable Spaces

Reconstructing Topological Graphs and Continua

P-Paracompact and P-Metrizable Spaces

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