5 citations · 5 across the 3 of their papers we have counts for
5 papers
n-Arc Connected Graphs
Paul Gartside, Ana Mamatelashvili, Max Pitz
Given a graph G, of arbitrary size and unbounded vertex degree, denote by |G| the one-complex associated with . The topological space |G| is n-arc connected (n-ac) if every set…
The Tukey Order and Subsets of
Paul Gartside, Ana Mamatelashvili
One partially ordered set, , is a Tukey quotient of another, , if there is a map carrying cofinal sets of to cofinal sets of . Two partial orders which ar…
Tukey Order, Calibres and the Rationals
Paul Gartside, Ana Mamatelashvili
One partially ordered set, , is a Tukey quotient of another, , denoted , if there is a map carrying cofinal sets of to cofinal sets of . Let $…
Strong Arcwise Connectedness
Benjamin Espinoza, Paul Gartside, Merve Kovan-Bakan +1
A space is `n-strong arc connected' (n-sac) if for any n points in the space there is an arc in the space visiting them in order. A space is omega-strong arc connected (omega-sac)…
n-Arc Connected Spaces
Benjamin Espinoza, Paul Gartside, Ana Mamatelashvili
A space is `n-arc connected' (n-ac) if any family of no more than n-points are contained in an arc. For graphs the following are equivalent: (i) 7-ac, (ii) n-ac for all n, (iii) co…