Location of Repository

## A localic theory of lower and upper integrals

### Abstract

An account of lower and upper integration is given. It is constructive in the sense of geometric logic. If the integrand takes its values in the non-negative lower reals, then its lower integral with respect to a valuation is a lower real. If the integrand takes its values in the non-negative upper reals,then its upper integral with respect to a covaluation and with domain of integration bounded by a compact subspace is an upper real. Spaces of valuations and of covaluations are defined. Riemann and Choquet integrals can be calculated in terms of these lower and upper integrals

Topics: Q Science (General), QA Mathematics
Publisher: John Wiley and Son
Year: 2008
OAI identifier: oai:eprints.bham.ac.uk:185

### Suggested articles

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.