Coverable standard measures with the chain condition and the Lebesgue decomposition

Yoshihiro Kubokawa

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 2, page 315-324
  • ISSN: 0011-4642

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Kubokawa, Yoshihiro. "Coverable standard measures with the chain condition and the Lebesgue decomposition." Czechoslovak Mathematical Journal 45.2 (1995): 315-324. <http://eudml.org/doc/31466>.

@article{Kubokawa1995,
author = {Kubokawa, Yoshihiro},
journal = {Czechoslovak Mathematical Journal},
keywords = {measurable cardinal; divisible measure; decomposable measure; standard measure; Lebesgue decomposition; Radon measures; Hausdorff spaces},
language = {eng},
number = {2},
pages = {315-324},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Coverable standard measures with the chain condition and the Lebesgue decomposition},
url = {http://eudml.org/doc/31466},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Kubokawa, Yoshihiro
TI - Coverable standard measures with the chain condition and the Lebesgue decomposition
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 2
SP - 315
EP - 324
LA - eng
KW - measurable cardinal; divisible measure; decomposable measure; standard measure; Lebesgue decomposition; Radon measures; Hausdorff spaces
UR - http://eudml.org/doc/31466
ER -

References

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  1. Covering properties, Handbook of set-theoretical topology, edited by K. Kunen and J.E. Vaughan, North-Holland, Amsterdam, New York, Oxford (1984), 347–422. (1984) Zbl0569.54022MR0776628
  2. Decomposition theorem in measure theory, Math. Slovaca 31 (1981), 53–69. (1981) MR0619507
  3. 10.2140/pjm.1956.6.43, Pacific J. Math. 6 (1956), 43–45. (1956) Zbl0071.05301MR0079075DOI10.2140/pjm.1956.6.43
  4. 10.1017/S1446788700008375, J. Austral. Math. Soc. 12 (1971), 101–105. (1971) Zbl0203.35901MR0274692DOI10.1017/S1446788700008375
  5. Topological Riesz spaces and measure theory, Cambridge University Press, 1974. (1974) Zbl0273.46035MR0454575
  6. 10.1007/BF00715189, Z. Wahrsch. Verv. Gebiete 45 (1978), 159–167. (1978) Zbl0382.28001MR0510532DOI10.1007/BF00715189
  7. 10.1090/S0002-9947-1980-0561823-3, Trans. Amer. Math. Soc. 259 (1980), 65–74. (1980) MR0561823DOI10.1090/S0002-9947-1980-0561823-3
  8. 10.1090/S0002-9947-1984-0735422-8, Trans. Amer. Math. Soc. 283 (1984), 283–293. (1984) MR0735422DOI10.1090/S0002-9947-1984-0735422-8
  9. Measure theory, Springer, New York, Heidelberg, Berlin, 1974. (1974) Zbl0283.28001MR0453532
  10. Topics in the theory of lifting, Springer, Berlin, Heidelberg, New York, 1969. (1969) MR0276438
  11. Set theory, Academic Press, New York, San Francisco, London, 1978. (1978) Zbl0419.03028MR0506523
  12. 10.1090/S0002-9939-1967-0218516-0, Proc. Amer. Math. Soc. 18 (1967), 628–632. (1967) Zbl0171.01702MR0218516DOI10.1090/S0002-9939-1967-0218516-0
  13. A decomposition of measures and the Radon-Nikodym theorem, J. Saitama Univ., Fac. Educ. (Math. & Sci.) 41 (1992), 1–14. (1992) 
  14. Localizable non-measurable measures and the Radon-Nikodym theorem, . 
  15. Coverable Radon measures, In preparation. Zbl0839.28007
  16. Equivalent properties and completion of statistical experiments, Sankhya Ser. A 47 (1985), 174–195. (1985) MR0844018
  17. On the union of compact statistical structures, Osaka J. Math. 20 (1983), 257–264. (1983) MR0706234
  18. Radon measures on arbitrary topological spaces and cylindrical measures, Oxford University Press, 1973. (1973) Zbl0298.28001MR0426084
  19. 10.2307/2372178, Amer. J. Math. 73 (1951), 275–313. (1951) MR0041191DOI10.2307/2372178
  20. 10.4064/fm-16-1-140-150, Fund. Math. 16 (1930), 140–150. (1930) DOI10.4064/fm-16-1-140-150
  21. Theoremi di decomposizione per misure localizzabili, Rend. Mat. (6)6 (1973), 307–336. (1973) MR0344402

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