Coverable Radon measures in topological spaces with covering properties

Yoshihiro Kubokawa

Colloquium Mathematicae (1996)

  • Volume: 70, Issue: 1, page 13-23
  • ISSN: 0010-1354

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Kubokawa, Yoshihiro. "Coverable Radon measures in topological spaces with covering properties." Colloquium Mathematicae 70.1 (1996): 13-23. <http://eudml.org/doc/210392>.

@article{Kubokawa1996,
author = {Kubokawa, Yoshihiro},
journal = {Colloquium Mathematicae},
keywords = {coverable measures; support; Radon measure; regular space; Martin's Axiom; meta-Lindelöf spaces; Radon-Nikodým theorem},
language = {eng},
number = {1},
pages = {13-23},
title = {Coverable Radon measures in topological spaces with covering properties},
url = {http://eudml.org/doc/210392},
volume = {70},
year = {1996},
}

TY - JOUR
AU - Kubokawa, Yoshihiro
TI - Coverable Radon measures in topological spaces with covering properties
JO - Colloquium Mathematicae
PY - 1996
VL - 70
IS - 1
SP - 13
EP - 23
LA - eng
KW - coverable measures; support; Radon measure; regular space; Martin's Axiom; meta-Lindelöf spaces; Radon-Nikodým theorem
UR - http://eudml.org/doc/210392
ER -

References

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  1. [ArPo] A. V. Arkhangel'skiĭ and V. I. Ponomarev, Fundamentals of General Topology, D. Reidel, Boston, 1983. 
  2. [Bu] D. K. Burke, Covering properties, in: Handbook of Set-Theoretic Topology, K. Kunen and J. E. Vaughan (eds.), North-Holland, Amsterdam, 1984, 347-422. 
  3. [En] R. Engelking, General Topology, PWN, Warszawa, 1977. 
  4. [Fr] D. H. Fremlin, Topological Riesz Spaces and Measure Theory, Cambridge Univ. Press, London, 1974. Zbl0273.46035
  5. [GaPf1] R. J. Gardner and W. F. Pfeffer, Some undecidability results concerning Radon measures, Trans. Amer. Math. Soc. 259 (1980), 65-74. Zbl0455.28005
  6. [GaPf2] R. J. Gardner and W. F. Pfeffer, Relation between the regularity and σ-finiteness of Radon measures, Russian Math. Surveys 35 (3) (1980), 35-40. Zbl0485.28008
  7. [GaPf3] R. J. Gardner and W. F. Pfeffer, Decomposability of Radon measures, Trans. Amer. Math. Soc. 283 (1984), 283-293. Zbl0543.28006
  8. [GaPf4] R. J. Gardner and W. F. Pfeffer, Borel measures, in: Handbook of Set-Theoretic Topology, K. Kunen and J. E. Vaughan (eds.), North-Holland, Amsterdam, 1984, 961-1043. 
  9. [Gr1] G. Gruenhage, Generalized metric spaces, ibid., 423-501. 
  10. [Gr2] G. Gruenhage, Generalized metric spaces and metrization, in: Recent Progress in General Topology, M. Hušek and J. van Mill (eds.), North-Holland, Amsterdam, 1992, 239-274. 
  11. [GrPf] G. Gruenhage and W. F. Pfeffer, When inner regularity of Borel measures implies regularity, J. London Math. Soc. (2) 17 (1978), 165-171. Zbl0387.28014
  12. [Ha] P. R. Halmos, Measure Theory, Springer, New York, 1974. 
  13. [Ku1] Y. Kubokawa, Coverable standard measures with the chain condition and the Lebesgue decomposition, Czechoslovak Math. J. 45 (1995), 315-324. Zbl0841.28003
  14. [Ku2] Y. Kubokawa, Localizable non-measurable measures and the Radon-Nikodym theorem, in preparation. 
  15. [LuMu] H. Luschgy and D. Mussmann, Equivalent properties and completion of statistical experiments, Sankhyā Ser. A 47 (1985), 174-195. Zbl0593.62003
  16. [Ma] Encyclopedic Dictionary of Mathematics, edited by Math. Soc. Japan, 293F: Dominated statistical structure, Iwanami-shoten, Tokyo, 1985, 873-874 (in Japanese). 
  17. [O] S. Okada, Support of Borel measures, J. Austral. Math. Soc. Ser. A 27 (1979), 221-231. 
  18. [P] P. Prinz, Negligible sets of Radon measures, Proc. Amer. Math. Soc. 89 (1983), 440-444. Zbl0528.28010
  19. [RaYa] R. V. Ramoorthi and S. Yamada, On the union of compact statistical structures, Osaka J. Math. 20 (1983), 257-263. 
  20. [Sc] L. Schwartz, Radon Measures on Arbitrary Topological Spaces and Cylindrical Measures, Oxford Univ. Press, London, 1973. 
  21. [Ya] Y. Yasui, Generalized paracompactness, in: Topics in General Topology, K. Morita and J. Nagata (eds.), North-Holland, Amsterdam, 1989, 161-202. 

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