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Topological vitali measure spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
The properties of Lebesgue outer measures embodied in the Vitali covering theorem, the Vitali-Carathéodory theorem, the Lusin theorem, the density theorem, outer regularity and inner regularity, and the relation between measurability and approximate continuity are studied in a general abstract space, called a topological Vitali measure space. The main theme is the mutual equivalence of these properties.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 32 , Issue 2 , October 1985 , pp. 225 - 249
- Copyright
- Copyright © Australian Mathematical Society 1985