AAA89 General Algebra Conference, Dresden March 2015
www.tu-dresden.de/math/aaa89
Skew distributive lattices and computational topology
arxiv:1409.8613
Abstract. Noncommutative lattices have been studied in the context of matrices over rings and partial maps in connection to topics of computer science. A duality between sheaves over Priestley spaces and a distributive version of such noncommutative algebras (namely distributive skew latices) was recently established, providing a deeper insight over these algebras. In this talk we will describe aspects of the particular case of the duality between the category of sheaves over certain Priestley spaces and noncommutative locales, that we call skew locales. We will also discuss an application to computational topology, in the context of the topos foundation of persistence.
JOÃO PITA COSTA 2015