On the representation of measures over bounded lattices

In this paper we investigate measures over bounded lattices, extending and giving a unifying treatment to previous works. In particular, we prove that the measures of an arbitrary bounded lattice can be represented as measures over a suitably chosen Boolean lattice. Using techniques from algebraic geometry, we also prove that given a bounded lattice X there exists a scheme X such that a measure over X is the same as a (scheme-theoretic) measure over X. We also define the measurability of a lattice, and describe measures over finite lattices

Publication year:2021

BOF-keylabel:yes

IOF-keylabel:yes

BOF-publication weight:0.5

Authors:International

Authors from:Higher Education

Accessibility:Open