Special measures and repleteness

El-Bachir Yallaoui

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-10

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 ⌢ 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 ⌢ , μ ˜ and μ ′ ; and try to set some new criterion for repleteness and measure repleteness.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:721716

DOI: 10.1155/S0161171293000997

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