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This paper describes a class of null sets; point, lattice measure of a point and lattice semi-finite measure were introduced. Here it has been derived a result that in a countable Boolean lattice the lattice measure of any two points are either disjoint or identical also the class of all points in countable Boolean lattice is countable and proved that Any union countable of null partial lattices is null partial lattice, also established that the class of points in countable Boolean lattice is countable. It has been obtained a theorem that if a countable Boolean lattice is pointless if and only if every non empty set in countable Boolean lattice contains countable number of disjoint non-empty sets. Finally it has been observed that some elementary nature of points in a countable Boolean lattice.
D.V.S.R. Anil Kumar. 2014. \u201cThe Nature of Points in Countable Boolean Lattice Measures\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F1): .
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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Total Score: 103
Country: India
Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision
Authors: D.V.S.R. Anil Kumar, Y.V. Seshagiri Rao, Y. Narasimhulu, (PhD/Dr. count: 0)
View Count (all-time): 136
Total Views (Real + Logic): 4593
Total Downloads (simulated): 2334
Publish Date: 2014 05, Sat
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This paper describes a class of null sets; point, lattice measure of a point and lattice semi-finite measure were introduced. Here it has been derived a result that in a countable Boolean lattice the lattice measure of any two points are either disjoint or identical also the class of all points in countable Boolean lattice is countable and proved that Any union countable of null partial lattices is null partial lattice, also established that the class of points in countable Boolean lattice is countable. It has been obtained a theorem that if a countable Boolean lattice is pointless if and only if every non empty set in countable Boolean lattice contains countable number of disjoint non-empty sets. Finally it has been observed that some elementary nature of points in a countable Boolean lattice.
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