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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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171290001090 |
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| _version_ | 1832549837477773312 |
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| author | El-Bachir Yallaoui |
| author_facet | El-Bachir Yallaoui |
| author_sort | El-Bachir Yallaoui |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0b7081c8c2a44d9cbf12640c302e7bc2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0b7081c8c2a44d9cbf12640c302e7bc22025-02-03T06:08:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113478379810.1155/S0161171290001090Induced measures on Wallman spacesEl-Bachir Yallaoui0University of Setif, AlgeriaLet 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.http://dx.doi.org/10.1155/S0161171290001090lattice regular measureWallman space and remainderreplete and measure replete latticesσ-smoothτ-smooth and tight measures. |
| spellingShingle | El-Bachir Yallaoui Induced measures on Wallman spaces International Journal of Mathematics and Mathematical Sciences lattice regular measure Wallman space and remainder replete and measure replete lattices σ-smooth τ-smooth and tight measures. |
| title | Induced measures on Wallman spaces |
| title_full | Induced measures on Wallman spaces |
| title_fullStr | Induced measures on Wallman spaces |
| title_full_unstemmed | Induced measures on Wallman spaces |
| title_short | Induced measures on Wallman spaces |
| title_sort | induced measures on wallman spaces |
| topic | lattice regular measure Wallman space and remainder replete and measure replete lattices σ-smooth τ-smooth and tight measures. |
| url | http://dx.doi.org/10.1155/S0161171290001090 |
| work_keys_str_mv | AT elbachiryallaoui inducedmeasuresonwallmanspaces |