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Camacho, James
- Outer and Inner Lattice Measures
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1 New Jersey City University, 2039 Kennedy Boulevard Jersey City, New Jersey 07305, US
1 New Jersey City University, 2039 Kennedy Boulevard Jersey City, New Jersey 07305, US
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The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 11-21Abstract
Outer and inner measures of a measure μ are defined and used to generate results involving them on a lattice l and its complement l'. Then outer and inner measures associated with two measures μ, ν are used to generate results involving them on a lattice l and its complement l′.Keywords
Outer Measure, Inner Measure, Measureable Set, Normal Lattice.
- Slightly Regular and Vague Measures
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The Journal of the Indian Mathematical Society, Vol 84, No 1-2 (2017), Pagination: 23-38Abstract
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 l1 ⊂ l2.Keywords
Outer Measure, Inner Measure, Slightly Regular Measure, Vague Measure, Normal Lattice, Semi-Separate.References
- Camacho, J., Outer and Inner Lattice Measures, Journal of the Indian Math. Soc. Vol.80, nos. 1-4, (2013), 1-11, (to appear)
- Camacho, J., On Topological Properties of Certain Wallman Spaces, J. Math. Sci., 7, no. 1 (1996), 33-44.
- Grassi, P., Outer Measures and Associated Lattice Properties, Int. J. Math. and Math. Sci., 16, no. 4 (1993), 687-694.
- Hsu, P-S., Characterizations of Outer Measures Associated with Lattice Measures, Int. J. Math. and Math. Sci., 24, no. 4 (2000), 237-249.
- Traina, C., On Finitely Subadditive Outer Meaures and Modularity Properties, Int. J. Math. and Math. Sci., no. 8 (2003), 461-474.
- Vlad, C., On Compactness of Lattices, Int. J. Math. and Math. Sci., no. 16 (2005), 2565-2573.
- Extensions of Lattice Regular Measures with Applications
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1 Jersey Qty State College, 2039 Kennedy Boulevard, Jersey City, New Jersey 07305, US
1 Jersey Qty State College, 2039 Kennedy Boulevard, Jersey City, New Jersey 07305, US