MV-algebras, infinite dimensional polyhedra, and natural dualities
Leo and I have just finished our paper on the connection between natural dualities and the duality between semisimple MV-algebras and compact Hausdorff spaces with definable maps. Actually, we provide a description of definable maps that is intrinsically geometric. In addition, we give some applications to semisimple tensor products, strongly semisimple and polyhedral MV-algebras.
The paper can be downloaded here.
Tags: categorical duality, compact Hausdorff spaces, definable maps, duality, First Order Many-Valued Logic, Łukasiewicz logic, MV-algebras, Natural dualities, polyhedral MV-algebras., presentation, semisimple tensor product, strongly semisimple MV-algebras, Z-maps
