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Topological vitali measure spaces

Published online by Cambridge University Press:  17 April 2009

D.N. Sarkhel  and
T. Chakraborti
D.N. Sarkhel
Affiliation:
Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India.
T. Chakraborti
Affiliation:
Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India.
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Abstract

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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

References

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