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Slightly Regular and Vague Measures


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  • New Jersey City University, United States
     

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Outer and inner measures of a measure μ are defined and used to prove results involving them on a lattice l and its complement l'. Most of the results concern slightly regular measures, and vague measures. Then outer and inner measures associated to two measures μ, ν are then used to prove results involving them on two lattices l1, and l2 where l1l2.

Keywords

Outer Measure, Inner Measure, Slightly Regular Measure, Vague Measure, Normal Lattice, Semi-Separate.
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  • Camacho, J., Outer and Inner Lattice Measures, Journal of the Indian Math. Soc. Vol.80, nos. 1-4, (2013), 1-11, (to appear)
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  • Slightly Regular and Vague Measures

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Authors

James Camacho
, United States

Abstract


Outer and inner measures of a measure μ are defined and used to prove results involving them on a lattice l and its complement l'. Most of the results concern slightly regular measures, and vague measures. Then outer and inner measures associated to two measures μ, ν are then used to prove results involving them on two lattices l1, and l2 where l1l2.

Keywords


Outer Measure, Inner Measure, Slightly Regular Measure, Vague Measure, Normal Lattice, Semi-Separate.

References