Integration without points

Details Integration without points Integration without points

2011-01-19

arxiv.org/abs/1101.3762v2

Mathematics

Probability

Minor editorial changes, historical comments, references and an example added

Scientific paper

We develop a theory of Lebesgue integration on abstract Boolean algebras with
countable joins. We prove an extension theorem of probability additive
functions to countably additive functions in this context, and give a fully
functorial treatment of the Segal space in this setting. We also include an
interesting non-Gaussian example.

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