Lattice normality and outer measures
A lattice space is defined to be an ordered pair whose first component is an arbitrary set X and whose second component is an arbitrary lattice L of subsets of X. A lattice space is a generalization of a topological space. The concept of lattice normality plays an important role in the study of latt...
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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/S016117129300002X |
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| _version_ | 1832556138895245312 |
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| author | Panagiotis D. Stratigos |
| author_facet | Panagiotis D. Stratigos |
| author_sort | Panagiotis D. Stratigos |
| collection | DOAJ |
| description | A lattice space is defined to be an ordered pair whose first component
is an arbitrary set X and whose second component is an arbitrary lattice L of subsets
of X. A lattice space is a generalization of a topological space. The concept
of lattice normality plays an important role in the study of lattice spaces. |
| format | Article |
| id | doaj-art-5fe63a0896c248749e736ef0ac295dfe |
| 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-5fe63a0896c248749e736ef0ac295dfe2025-02-03T05:46:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-01161233210.1155/S016117129300002XLattice normality and outer measuresPanagiotis D. Stratigos0Department of Mathematics, Long Island University, Brooklyn, NY 11201, USAA lattice space is defined to be an ordered pair whose first component is an arbitrary set X and whose second component is an arbitrary lattice L of subsets of X. A lattice space is a generalization of a topological space. The concept of lattice normality plays an important role in the study of lattice spaces.http://dx.doi.org/10.1155/S016117129300002Xlattice spacelattice normalitylattice regularity and σ-smoothness of a measureweak lattice regularity of a measurefinitely subadditive outer measure; countably subadditive outer measure. |
| spellingShingle | Panagiotis D. Stratigos Lattice normality and outer measures International Journal of Mathematics and Mathematical Sciences lattice space lattice normality lattice regularity and σ-smoothness of a measure weak lattice regularity of a measure finitely subadditive outer measure; countably subadditive outer measure. |
| title | Lattice normality and outer measures |
| title_full | Lattice normality and outer measures |
| title_fullStr | Lattice normality and outer measures |
| title_full_unstemmed | Lattice normality and outer measures |
| title_short | Lattice normality and outer measures |
| title_sort | lattice normality and outer measures |
| topic | lattice space lattice normality lattice regularity and σ-smoothness of a measure weak lattice regularity of a measure finitely subadditive outer measure; countably subadditive outer measure. |
| url | http://dx.doi.org/10.1155/S016117129300002X |
| work_keys_str_mv | AT panagiotisdstratigos latticenormalityandoutermeasures |