Anthony W. Hager

collaborators

4 papers

math.FA2026

Some minimum topological spaces, and vector lattices

R. E. Carrera, A. W. Hager, B. Wynne

We investigate the existence of compact Hausdorff spaces $X$ that are minimum with respect to $c X = K$ for some fixed covering operator $c$ and compact Hausdorff space $K$ with $cK=K…

math.GR2026

Semi-boolean and Yosida $ℓ$ -groups, Martinez and Yosida frames, and the $G + B$ construction

Papiya Bhattacharjee, Anthony W. Hager, Warren Wm. McGovern +1

The class of semi-boolean $ℓ$ -groups was introduced in 1968 by A. Bigard. These are the $ℓ$ -groups $G$ in which the principal convex $ℓ$ -subgroup $G (a)$ generated by any $…

math.GR2024

Archimedean l-groups with strong unit: cozero-sets and coincidence of types of ideals

Papiya Bhattacharjee, Anthony W. Hager, Warren Wm. McGovern +1

$W^{*}$ is the category of the archimedean l-groups with distinguished strong order unit and unit-preserving l-group homomorphisms. For $G \in W^{*}$ , we have the canonical c…

math.GN2024

Sufficiently many projections in archimedean vector lattices with weak order unit

Anthony W. Hager, Brian Wynne

The property of a vector lattice of sufficiently many projections (SMP) is informed by restricting attention to archimedean $A$ with a distinguished weak order unit $u$ (the class,…

Some minimum topological spaces, and vector lattices

Semi-boolean and Yosida ℓ-groups, Martinez and Yosida frames, and the G+B construction

Archimedean l-groups with strong unit: cozero-sets and coincidence of types of ideals

Sufficiently many projections in archimedean vector lattices with weak order unit

Semi-boolean and Yosida $ℓ$ -groups, Martinez and Yosida frames, and the $G + B$ construction