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math.CT2015★ 3 cited
Quantales, generalised premetrics and free locales
J. Bruno, P. Szeptycki
Premetrics and premetrisable spaces have been long studied and their topological interrelationships are well-understood. Consider the category of premetric spaces and $…
math.CT2015
Betweenness relations in a categorical setting
J. Bruno, A. McCluskey, P. Szeptycki
We apply a categorical lens to the study of betweenness relations by capturing them within a topological category, fibred in lattices, and study several subcategories of it. In par…