Regular measures and normal lattices
In this paper, we investigate M(ℒ) in case ℒ is a normal lattice of subsets of X and we extend the results to ℒ1, ℒ2-lattices of subsets of X, such that ℒ1⊂ℒ2 and ℒ1 separates ℒ2. We define the outer measures μ′ and μ″ which prove very useful in proving some of the above results....
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000633 |
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| _version_ | 1832552167582466048 |
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| author | Carmen Vlad |
| author_facet | Carmen Vlad |
| author_sort | Carmen Vlad |
| collection | DOAJ |
| description | In this paper, we investigate M(ℒ) in case ℒ is a normal lattice of subsets of X and we extend the results to ℒ1, ℒ2-lattices of subsets of X, such that ℒ1⊂ℒ2 and ℒ1 separates ℒ2. We define the outer measures μ′ and μ″ which prove very useful in proving some of the above results. |
| format | Article |
| id | doaj-art-84dcf31aa0694bbcb500760262975c69 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-84dcf31aa0694bbcb500760262975c692025-02-03T05:59:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117344144510.1155/S0161171294000633Regular measures and normal latticesCarmen Vlad0Department of Mathematics, Pace University/NYC campus, Pace Plaza, New York 10038-1502, NY, USAIn this paper, we investigate M(ℒ) in case ℒ is a normal lattice of subsets of X and we extend the results to ℒ1, ℒ2-lattices of subsets of X, such that ℒ1⊂ℒ2 and ℒ1 separates ℒ2. We define the outer measures μ′ and μ″ which prove very useful in proving some of the above results.http://dx.doi.org/10.1155/S0161171294000633normal latticeouter measureseparation. |
| spellingShingle | Carmen Vlad Regular measures and normal lattices International Journal of Mathematics and Mathematical Sciences normal lattice outer measure separation. |
| title | Regular measures and normal lattices |
| title_full | Regular measures and normal lattices |
| title_fullStr | Regular measures and normal lattices |
| title_full_unstemmed | Regular measures and normal lattices |
| title_short | Regular measures and normal lattices |
| title_sort | regular measures and normal lattices |
| topic | normal lattice outer measure separation. |
| url | http://dx.doi.org/10.1155/S0161171294000633 |
| work_keys_str_mv | AT carmenvlad regularmeasuresandnormallattices |