Radon Measure on Measure Manifold

S. C. P. Halakatti; Soubhagya Baddi

doi:https://doi.org/10.14445/22315373/IJMTT-V30P510

International Journal of Mathematics Trends and Technology

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Volume 30 | Number 1 | Year 2016 | Article Id. IJMTT-V30P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V30P510

Radon Measure on Measure Manifold

S. C. P. Halakatti, Soubhagya Baddi

Citation :

S. C. P. Halakatti, Soubhagya Baddi, "Radon Measure on Measure Manifold," International Journal of Mathematics Trends and Technology (IJMTT), vol. 30, no. 1, pp. 53-60, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V30P510

Abstract

In this paper, the Radon measure is assigned on compact measurable charts and atlases of measure manifold on which the different versions of measurable compactness properties like measurable Heine-Borel property, measurable countably compactness property, measurable Lindeloff property and measurable paracompactness property are studied. Further, we show that these properties remain invariant under measurable diffeomorphism and Radon measureinvariant function. We prove that the set of these functions form a group structure on the set M = {M1 ,M2 ,....,Mn } of Radon measure manifolds.

Keywords

Measurable Heine-Borel property, measurable countably compactness property, measurable Lindeloff property, measurable paracompactness properties, measurable diffeomorphism and Radon measure- invariant map.

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