International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1990 / Article

Open Access

Volume 13 |Article ID 458903 | https://doi.org/10.1155/S0161171290001090

El-Bachir Yallaoui, "Induced measures on Wallman spaces", International Journal of Mathematics and Mathematical Sciences, vol. 13, Article ID 458903, 16 pages, 1990. https://doi.org/10.1155/S0161171290001090

Induced measures on Wallman spaces

Received14 Apr 1989
Revised03 Oct 1989

Abstract

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

Copyright © 1990 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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