Outer measures and associated lattice properties
Zero-one measure characterizations of lattice properties such as normality are extended to more general measures. For a given measure, we consider two associated outer measures and attempt to obtain the outer-measurable sets. We also seek necessary and sufficient conditions for the measure and outer...
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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/S0161171293000869 |
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| _version_ | 1832562697146728448 |
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| author | Peter M. Grassi |
| author_facet | Peter M. Grassi |
| author_sort | Peter M. Grassi |
| collection | DOAJ |
| description | Zero-one measure characterizations of lattice properties such as normality are
extended to more general measures. For a given measure, we consider two associated outer
measures and attempt to obtain the outer-measurable sets. We also seek necessary and sufficient
conditions for the measure and outer measures to be equal on the lattice or its complement. |
| format | Article |
| id | doaj-art-c023ef9e367a4e6f84ede504dc1cea4b |
| 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-c023ef9e367a4e6f84ede504dc1cea4b2025-02-03T01:22:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116468769410.1155/S0161171293000869Outer measures and associated lattice propertiesPeter M. Grassi0Department of Mathematics, Hofstra University, Hempstead 11550, NY, USAZero-one measure characterizations of lattice properties such as normality are extended to more general measures. For a given measure, we consider two associated outer measures and attempt to obtain the outer-measurable sets. We also seek necessary and sufficient conditions for the measure and outer measures to be equal on the lattice or its complement.http://dx.doi.org/10.1155/S0161171293000869measurelatticeouter-measuremeasurablenormalregular almost countably compactseparatessemiseparatessupport. |
| spellingShingle | Peter M. Grassi Outer measures and associated lattice properties International Journal of Mathematics and Mathematical Sciences measure lattice outer-measure measurable normal regular almost countably compact separates semiseparates support. |
| title | Outer measures and associated lattice properties |
| title_full | Outer measures and associated lattice properties |
| title_fullStr | Outer measures and associated lattice properties |
| title_full_unstemmed | Outer measures and associated lattice properties |
| title_short | Outer measures and associated lattice properties |
| title_sort | outer measures and associated lattice properties |
| topic | measure lattice outer-measure measurable normal regular almost countably compact separates semiseparates support. |
| url | http://dx.doi.org/10.1155/S0161171293000869 |
| work_keys_str_mv | AT petermgrassi outermeasuresandassociatedlatticeproperties |