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Structure of Finite-Dimensional Protori
2019
Axioms
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite-dimensional protorus. The spectrum of resolutions for a finite-dimensional protorus are parameterized in the structure theorem by the dual category of finite rank torsion-free abelian groups. A consequence is a universal resolution for a
doi:10.3390/axioms8030093
fatcat:6f7ir5bdezgrphxbdzosktgx74