5 citations · 6 across the 7 of their papers we have counts for
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math.GN2014★ 1 cited
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…
math.GN2014
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…
math.FA2014
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…