Induced measures on Wallman spaces
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 μˆ and μ˜ on suitable lattices of the Wallman space IR(ℒ) and another measure μ′ on the space IRσ(ℒ). We will investigate the reflection of smoothness properties of μ onto μ...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290001090 |
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| Summary: | 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 μˆ and μ˜ on suitable lattices of the Wallman space IR(ℒ) and another measure μ′ on the space IRσ(ℒ). 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. |
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| ISSN: | 0161-1712 1687-0425 |