Outer and Inner Lattice Measures
Abstract
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.
Subject Discipline
Mathematical Sciences
References
J. Camacho, On topological properties of certain Wallman spaces, J. Math. Sci., 7, no.1, (1996), 33–44.
P. Grassi, Outer measures and associated lattice properties, Int. Jour. Math. and Math. Sci., 16, no.4, (1993), 687–694.
P. S. Hsu, Characterizations of outer measures associated with lattice measures, Int. Jour. Math. and Math. Sci., 24, no.4,(2000), 237–249.
C. Traina, On finitely subadditive outer meaures and modularity properties, Int. Jour. Math. and Math. Sci., no.8, (2003), 461–474.
C. Vlad, On compactness of lattices, Int. Jour. Math. and Math. Sci., no.16, (2005), 2565–2573.
Refbacks
- There are currently no refbacks.