5 citations · 6 across the 7 of their papers we have counts for
4 papers · 1 filter
Pointless Parts of Completely Regular Locales
Richard N. Ball
(Completely regular) locales generalize (Tychonoff) spaces; indeed, the passage from a locale to its spatial sublocale is a well understood coreflection. But a locale also possesse…
Pointfree pointwise suprema in unital archimedean -groups
Richard N. Ball, Anthony W. Hager, Joanne Walters-Wayland
We generalize the concept of the pointwise supremum of real-valued functions to the pointfree setting. The concept itself admits a direct and intuitive formulation which makes no m…
Truncated Abelian Lattice-Ordered Groups II: the Pointfree (Madden) Representation
Richard N. Ball
This is the second of three articles on the topic of truncation as an operation on divisible abelian lattice-ordered groups, or simply -groups. This article uses the notation…
Unital hyperarchimedean vector lattices
Richard N. Ball, Vincenzo Marra
We prove that the category of unital hyperarchimedean vector lattices is equivalent to the category of Boolean algebras. The key result needed to establish the equivalence is that,…