SOME RESULTS ON THE EXISTENCE OF RESIDUAL MEASURES
Keywords:
residual measures, normal measures, hyperdiffuse measures, category measures
Abstract
Some results on the existence of residual measures have been generalized. Further results and a characterization of such measures are obtained.
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References
Z. A. Ameen. Finitely Additive Measures on Topological Spaces and Boolean Algebras. PhD thesis, University of East Anglia, 2015.
-T. E. Armstrong, K. Prikry, et al. Residual measures. Illinois Journal of Mathematics, 22(1):64–78, 1978.
-J. Dixmier. Sur certains espaces considérés par MH Stone. Instituto Brasileiro de Educação, 1951.
-B. Fishel and D. Papert. A note on hyperdiffuse measures. Journal of the London Mathematical Society, 1(1):245–254, 1964.
-. Flachsmeyer. Normal and category measures on topological spaces. General Topology and its Relations to Modern Analysis and Algebra, pages 109–116, 1972.
-P. A. Loeb. Real Analysis. Birkhäuser, 2016.
-M. Marinacci. Genericity: A measure-theoretic analysis. Mimeo, 1994.
-S. Nygard. The density topology on the reals with analogues on other spaces. Master Thesis, Boise State University, 2016.
-J. C. Oxtoby. Measure and category, volume 2.
Springer Science & Business Media, 2013.
-G. Plebanek. A normal measure on a compact connected space. arXiv preprint arXiv:1507.02845, 2015.
-O. Zindulka. Residual measures in locally compact spaces. Topology and its Applications, 108(3):253–2 65, 2000.
-T. E. Armstrong, K. Prikry, et al. Residual measures. Illinois Journal of Mathematics, 22(1):64–78, 1978.
-J. Dixmier. Sur certains espaces considérés par MH Stone. Instituto Brasileiro de Educação, 1951.
-B. Fishel and D. Papert. A note on hyperdiffuse measures. Journal of the London Mathematical Society, 1(1):245–254, 1964.
-. Flachsmeyer. Normal and category measures on topological spaces. General Topology and its Relations to Modern Analysis and Algebra, pages 109–116, 1972.
-P. A. Loeb. Real Analysis. Birkhäuser, 2016.
-M. Marinacci. Genericity: A measure-theoretic analysis. Mimeo, 1994.
-S. Nygard. The density topology on the reals with analogues on other spaces. Master Thesis, Boise State University, 2016.
-J. C. Oxtoby. Measure and category, volume 2.
Springer Science & Business Media, 2013.
-G. Plebanek. A normal measure on a compact connected space. arXiv preprint arXiv:1507.02845, 2015.
-O. Zindulka. Residual measures in locally compact spaces. Topology and its Applications, 108(3):253–2 65, 2000.
Published
2018-11-15
How to Cite
ANWER AMEEN, Z. (2018). SOME RESULTS ON THE EXISTENCE OF RESIDUAL MEASURES. Journal of Duhok University, 21(1), 11-14. https://doi.org/10.26682/sjuod.2018.21.1.10
Section
Pure and Engineering Sciences
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