Integrals and Valuations

Details Integrals and Valuations Integrals and Valuations

2008-08-11

arxiv.org/abs/0808.1522v3

Logic and Analysis (2009) 1(3) p.1-22

Mathematics

Logic

Submitted for publication 15/05/08

Scientific paper

10.4115/jla.2009.1.3

We construct a homeomorphism between the compact regular locale of integrals
on a Riesz space and the locale of (valuations) on its spectrum. In fact, we
construct two geometric theories and show that they are biinterpretable. The
constructions are elementary and tightly connected to the Riesz space
structure.

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