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On lattice-perfect measures

Part of: Classical measure theory Set functions and measures on spaces with additional structure

Published online by Cambridge University Press:  09 April 2009

P. D. Stratigos
P. D. Stratigos
Affiliation:
Long Island University, Brooklyn, N.Y. 11201, USA
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Abstract

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The general properties of lattice-perfect measures are discussed. The relationship between countable compactness and measure perfectness, and the relationship between lattice-measure tightness and lattice-measure perfectness are investigated and several applications in topological measure theory are given.

Keywords

Lattice space; countable compactness; regularσ-smoothor tight lattice measure; strongly measure repleteness; lattice-perfect measure; characteristic function of a sequence of sets.

MSC classification

Secondary: 28A60: Measures on Boolean rings, measure algebras 28A33: Spaces of measures, convergence of measures 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 56 , Issue 2 , April 1994 , pp. 169 - 182
Copyright
Copyright © Australian Mathematical Society 1994

References

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