Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets
Consider any set X. A finitely subadditive outer measure on P(X) is defined to be a function v from P(X) to R such that v(ϕ)=0 and v is increasing and finitely subadditive. A finitely superadditive inner measure on P(X) is defined to be a function p from P(X) to R such that p(ϕ)=0 and p is increasin...
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129600066X |
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| _version_ | 1832566171524661248 |
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| author | P. D. Stratigos |
| author_facet | P. D. Stratigos |
| author_sort | P. D. Stratigos |
| collection | DOAJ |
| description | Consider any set X. A finitely subadditive outer measure on P(X) is defined to be
a function v from P(X) to R such that v(ϕ)=0 and v is increasing and finitely subadditive. A finitely
superadditive inner measure on P(X) is defined to be a function p from P(X) to R such that p(ϕ)=0 and p is increasing and finitely superadditive (for disjoint unions) (It is to be noted that every finitely
superadditive inner measure on P(X) is countably superadditive). |
| format | Article |
| id | doaj-art-f2742dbcfa97407da1e63ead1f4827be |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f2742dbcfa97407da1e63ead1f4827be2025-02-03T01:04:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119346147210.1155/S016117129600066XFinitely subadditive outer measures, finitely superadditive inner measures and their measurable setsP. D. Stratigos0Department of Mathematics, Long Island University, Brooklyn, NY 11201, USAConsider any set X. A finitely subadditive outer measure on P(X) is defined to be a function v from P(X) to R such that v(ϕ)=0 and v is increasing and finitely subadditive. A finitely superadditive inner measure on P(X) is defined to be a function p from P(X) to R such that p(ϕ)=0 and p is increasing and finitely superadditive (for disjoint unions) (It is to be noted that every finitely superadditive inner measure on P(X) is countably superadditive).http://dx.doi.org/10.1155/S016117129600066XLattice spacelattice normality and countable compactnesslattice regularity and σ-smoothness of a measurefinitely subadditive outer measurefinitely superadditive inner measureregularity of a finitely subadditive outer measure. |
| spellingShingle | P. D. Stratigos Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets International Journal of Mathematics and Mathematical Sciences Lattice space lattice normality and countable compactness lattice regularity and σ-smoothness of a measure finitely subadditive outer measure finitely superadditive inner measure regularity of a finitely subadditive outer measure. |
| title | Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets |
| title_full | Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets |
| title_fullStr | Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets |
| title_full_unstemmed | Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets |
| title_short | Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets |
| title_sort | finitely subadditive outer measures finitely superadditive inner measures and their measurable sets |
| topic | Lattice space lattice normality and countable compactness lattice regularity and σ-smoothness of a measure finitely subadditive outer measure finitely superadditive inner measure regularity of a finitely subadditive outer measure. |
| url | http://dx.doi.org/10.1155/S016117129600066X |
| work_keys_str_mv | AT pdstratigos finitelysubadditiveoutermeasuresfinitelysuperadditiveinnermeasuresandtheirmeasurablesets |