3 papers
math.LO2020
The two-sorted algebraic theory of states, and the universal states of MV-algebras
Tomáš Kroupa, Vincenzo Marra
We introduce a two-sorted algebraic theory whose models are states of MV-algebras and, to within a categorical equivalence that extends Mundici's well-known one, states of Abelian…
math.GR2019
Orders on groups, and spectral spaces of lattice-groups
Almudena Colacito, Vincenzo Marra
Extending pioneering work by Weinberg, Conrad, McCleary, and others, we provide a systematic way of relating spaces of right orders on a partially ordered group, on the one hand, a…
math.CT2018
A characterisation of the category of compact Hausdorff spaces
Vincenzo Marra, Luca Reggio
We provide a characterisation of the category KH of compact Hausdorff spaces and continuous maps by means of categorical properties only. To this aim we introduce a notion of filtr…