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Lebesgue Integration on $\Sigma$-locales: Simple Functions by Bernardes, Raquel is a scholarly article available to read on EtoBox.

What is Lebesgue Integration on $\Sigma$-locales: Simple Functions about?

This paper presents a point-free version of the Lebesgue integral for simple functions on $\sigma$-locales. It describes the integral with respect to a measure defined on the coframe of all $\sigma$-sublocales, moving beyond the constraints of Boolean algebras. It also extends the notion of integrable function, usually reserved for measurable functions, to localic general functions.

Author

Bernardes, Raquel

Published

2024

Language

EN