1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
From Freudenthal's Spectral Theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra
Richard N. Ball, Vincenzo Marra, Daniel McNeill +1
We use a landmark result in the theory of Riesz spaces - Freudenthal's 1936 Spectral Theorem - to canonically represent any Archimedean lattice-ordered group with a strong unit…