Completion regularity and τ -additivity of measures on product spaces

C. Gryllakis; G. Koumoullis

Compositio Mathematica (1990)

  • Volume: 73, Issue: 3, page 329-344
  • ISSN: 0010-437X

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Gryllakis, C., and Koumoullis, G.. "Completion regularity and $\tau $-additivity of measures on product spaces." Compositio Mathematica 73.3 (1990): 329-344. <http://eudml.org/doc/90008>.

@article{Gryllakis1990,
author = {Gryllakis, C., Koumoullis, G.},
journal = {Compositio Mathematica},
keywords = {Radon probability measure; Radon product measure; -additive product measure; completion regular measure; completely regular space},
language = {eng},
number = {3},
pages = {329-344},
publisher = {Kluwer Academic Publishers},
title = {Completion regularity and $\tau $-additivity of measures on product spaces},
url = {http://eudml.org/doc/90008},
volume = {73},
year = {1990},
}

TY - JOUR
AU - Gryllakis, C.
AU - Koumoullis, G.
TI - Completion regularity and $\tau $-additivity of measures on product spaces
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 73
IS - 3
SP - 329
EP - 344
LA - eng
KW - Radon probability measure; Radon product measure; -additive product measure; completion regular measure; completely regular space
UR - http://eudml.org/doc/90008
ER -

References

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  1. 1 A.G. Babiker and J.D. Knowles, Functions and measures on product spaces, Mathematika32 (1985) 60-67. Zbl0578.28004MR817109
  2. 2 J.R. Choksi and D.H. Fremlin, Completion regular measures on product spaces, Math. Ann.241 (1979) 113-128. Zbl0387.60006MR534807
  3. 3 D.L. Cohn, Measure Theory, Birkhäuser, Boston, 1980. Zbl0436.28001MR578344
  4. 4 D.H. Fremlin, Products of Radon measures: a counter-example, Canad. Math. Bull.19 (1976) 285-289. Zbl0353.28005MR435332
  5. 5 R.J. Gardner, The regularity of Borel measures and Borel measure compactness, Proc. London Math. Soc.30 (1975) 95-113. Zbl0294.28001MR367145
  6. 6 C. Gryllakis, Products of completion regular measures, Proc. Amer. Math. Soc., 103 (1988) 563-568. Zbl0655.28005MR943085
  7. 7 T. Jech, Set Theory, Academic Press, New York, 1978. Zbl0419.03028MR506523
  8. 8 S. Kakutani, Notes on infinite product measures, II, Proc. Imperial Acad. Tokyo, 19 (1943) 184-188. Zbl0061.09701MR14404
  9. 9 R.B. Kirk, Locally compact, B-compact spaces, Indag. Math.31 (1969) 333-344. Zbl0188.28003MR264609
  10. 10 J.D. Knowles, Measures on topological spaces, Proc. London Math. Soc.17 (1967) 139-156. Zbl0154.05101MR204602
  11. 11 G. Koumoullis, On the almost Lindelöf property in products of separable metric spaces, Compositio Math.48 (1983) 89-100. Zbl0504.54024MR700581
  12. 12 R.D. Mauldin and J. Mycielski, Solution of problem 16, in The Scotish Book, Birkhäuser, Boston (1981) 86-89. 
  13. 13 P. Ressel, Some continuity and measurability results on spaces of measures, Math. Scand.40 (1977) 69-78. Zbl0372.28010MR486384
  14. 14 K.A. Ross and A.H. Stone, Products of separable spaces, Amer. Math. Monthly71 (1964) 398-403. Zbl0119.38202MR164314
  15. 15 V.S. Varadarajan, Measures on topological spaces, Amer. Math. Soc. Transl.48 (1965) 161-228. Zbl0152.04202

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