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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |