Induced measures on Wallman spaces

El-Bachir Yallaoui

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-16

Abstract:

Let X be an abstract set and ℒ a lattice of subsets of X . To each lattice-regular measure μ , we associate two induced measures μ ˆ and μ ˜ on suitable lattices of the Wallman space I R ( ℒ ) and another measure μ ′ on the space I R σ ( ℒ ) . We will investigate the reflection of smoothness properties of μ onto μ ˆ , μ ˜ and μ ′ and try to set some new criterion for repleteness and measure repleteness.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:458903

DOI: 10.1155/S0161171290001090

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