5 citations · 5 across the 3 of their papers we have counts for
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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…