Special measures and repleteness
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 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
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000997 |
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| _version_ | 1832545627698888704 |
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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 μ⌢ 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⌢, μ˜
and μ′; and try to set some new criterion for repleteness and measure repleteness. |
| format | Article |
| id | doaj-art-1979d10924a04a9fa626bc81c72ed7c8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1979d10924a04a9fa626bc81c72ed7c82025-02-03T07:25:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116479580410.1155/S0161171293000997Special measures and repletenessEl-Bachir Yallaoui0Department of Mathematics, Polytechnic University, Six Metro Tech Center, Brooklyn 11201, NY, USALet 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 IR(ℒ) and another measure μ′ on the space IRσ(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.http://dx.doi.org/10.1155/S0161171293000997replete and measure replete latticeslattice regular measureWallman space and remainderσ-smoothτ-smooth and tight measurespurely finitely additive measurespurely σ-additive measurespurely τ-additive measures. |
| spellingShingle | El-Bachir Yallaoui Special measures and repleteness International Journal of Mathematics and Mathematical Sciences replete and measure replete lattices lattice regular measure Wallman space and remainder σ-smooth τ-smooth and tight measures purely finitely additive measures purely σ-additive measures purely τ-additive measures. |
| title | Special measures and repleteness |
| title_full | Special measures and repleteness |
| title_fullStr | Special measures and repleteness |
| title_full_unstemmed | Special measures and repleteness |
| title_short | Special measures and repleteness |
| title_sort | special measures and repleteness |
| topic | replete and measure replete lattices lattice regular measure Wallman space and remainder σ-smooth τ-smooth and tight measures purely finitely additive measures purely σ-additive measures purely τ-additive measures. |
| url | http://dx.doi.org/10.1155/S0161171293000997 |
| work_keys_str_mv | AT elbachiryallaoui specialmeasuresandrepleteness |