On the almost Lindelöf property in products of separable metric spaces

G. Koumoullis

Compositio Mathematica (1983)

  • Volume: 48, Issue: 1, page 89-100
  • ISSN: 0010-437X

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Koumoullis, G.. "On the almost Lindelöf property in products of separable metric spaces." Compositio Mathematica 48.1 (1983): 89-100. <http://eudml.org/doc/89588>.

@article{Koumoullis1983,
author = {Koumoullis, G.},
journal = {Compositio Mathematica},
keywords = {powers of separable metric spaces; products of powers of the reals with metric spaces; almost Lindelöf property; Baire and Borel measures; Martin's axiom},
language = {eng},
number = {1},
pages = {89-100},
publisher = {Martinus Nijhoff Publishers},
title = {On the almost Lindelöf property in products of separable metric spaces},
url = {http://eudml.org/doc/89588},
volume = {48},
year = {1983},
}

TY - JOUR
AU - Koumoullis, G.
TI - On the almost Lindelöf property in products of separable metric spaces
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 48
IS - 1
SP - 89
EP - 100
LA - eng
KW - powers of separable metric spaces; products of powers of the reals with metric spaces; almost Lindelöf property; Baire and Borel measures; Martin's axiom
UR - http://eudml.org/doc/89588
ER -

References

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  1. [1] T. Carlson: Extending Lebesgue measure by countably many sets, manuscript, 1979. 
  2. [2] G.A. Edgar: Disintegration of measures and the vector-valued Radon-Nikodym theorem. Duke Math. J.42 (1975) 447-450. Zbl0331.28006MR412381
  3. [3] D.H. Fremlin: Uncountable powers of R can be almost Lindelöf. Manuscripta Math.22 (1977) 77-85. Zbl0396.54015MR464155
  4. [4] D.H. Fremlin: Measurable and almost continuous functions. Manuscripta Math.33 (1981) 387-405. Zbl0459.28010MR612620
  5. [5] R.J. Gardner: The regularity of Borel measures and Borel measurecompactness. Proc. London Math. Soc.30 (1975) 95-113. Zbl0294.28001MR367145
  6. [6] S.H. Hechler: On NN1 and the almost Lindelöf property. Proc. Amer. Math. Soc.52 (1975) 353-355. Zbl0344.54016MR380706
  7. [7] J.H.B. Kemperman and D. Maharam: Rc is not almost Lindelöf. Proc. Amer. Math. Soc.24 (1970) 772-773. Zbl0198.27401MR253285
  8. [8] R.B. Kirk: Measures in topological spaces and B-compactness. Indag. Math.31 (1969) 172-183. Zbl0175.14702MR246104
  9. [9] K. Kuratowski: Topology, Vol. I. Academic Press, 1966. Zbl0158.40802MR217751
  10. [10] D.A. Martin and R.M. Solovay: Internal Cohen extensions. Ann. Math. Logic2 (1970) 143-178. Zbl0222.02075MR270904
  11. [11] W. Moran: The additivity of measures on completely regular spaces. J. London Math. Soc.43 (1968) 633-639. Zbl0159.07802MR228645
  12. [12] W. Moran: Measures and mappings on topological spaces. Proc. London Math. Soc.19 (1969) 493-508. Zbl0186.37201
  13. [13] K. Morita: A survey of the theory of M-spaces. Gen. Topology Appl.1 (1971) 49-55. Zbl0213.24002MR286060
  14. [14] K. Prikry: On an application of a theorem of Maharam. Measure Theory and Appl., Proc. 1980 Conf., Northern Illinois University, DeKalb, Illinois, 1981, p. 243. 
  15. [15] K.A. Ross and A.H. Stone: Products of separable spaces. Amer. Math. Monthly71 (1964) 398-403. Zbl0119.38202MR164314
  16. [16] M. Valadier: Désintégration d'une mesure sur un produitC.R. Acad. Sci. Paris Sér. A-B276 (1973), A33-A35. Zbl0244.28007MR318443

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