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math.FA2022
Stone-Gelfand duality for metrically complete lattice-ordered groups
Marco Abbadini, Vincenzo Marra, Luca Spada
We extend Yosida's 1941 version of Stone-Gelfand duality to metrically complete unital lattice-ordered groups that are no longer required to be real vector spaces. This calls for a…
math.CT2022
Barr-Exact Categories and Soft Sheaf Representations
Marco Abbadini, Luca Reggio
It has long been known that a key ingredient for a sheaf representation of a universal algebra A consists in a distributive lattice of commuting congruences on A. The sheaf represe…