# Measures on Corson compact spaces

Fundamenta Mathematicae (1995)

- Volume: 147, Issue: 1, page 61-72
- ISSN: 0016-2736

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topKunen, Kenneth, and van Mill, Jan. "Measures on Corson compact spaces." Fundamenta Mathematicae 147.1 (1995): 61-72. <http://eudml.org/doc/212074>.

@article{Kunen1995,

abstract = {We prove that the statement: "there is a Corson compact space with a non-separable Radon measure" is equivalent to a number of natural statements in set theory.},

author = {Kunen, Kenneth, van Mill, Jan},

journal = {Fundamenta Mathematicae},

keywords = {Corson compact space; Radon probability measure},

language = {eng},

number = {1},

pages = {61-72},

title = {Measures on Corson compact spaces},

url = {http://eudml.org/doc/212074},

volume = {147},

year = {1995},

}

TY - JOUR

AU - Kunen, Kenneth

AU - van Mill, Jan

TI - Measures on Corson compact spaces

JO - Fundamenta Mathematicae

PY - 1995

VL - 147

IS - 1

SP - 61

EP - 72

AB - We prove that the statement: "there is a Corson compact space with a non-separable Radon measure" is equivalent to a number of natural statements in set theory.

LA - eng

KW - Corson compact space; Radon probability measure

UR - http://eudml.org/doc/212074

ER -

## References

top- [1] J. Cichoń, A. Kamburelis and J. Pawlikowski, On dense subsets of the measure algebra, Proc. Amer. Math. Soc. 94 (1985), 142-146. Zbl0593.28003
- [2] M. Džamonja and K. Kunen, Measures on compact HS spaces, Fund. Math. 143 (1993), 41-54. Zbl0805.28008
- [3] V. V. Fedorchuk, On the cardinality of hereditarily separable bicompacta, Dokl. Akad. Nauk SSSR 222 (1975), 302-305 (in Russian).
- [4] D. Fremlin, Consequences of Martin's Axiom, Cambridge Univ. Press, 1984. Zbl0551.03033
- [5] P. Halmos, Measure Theory, Van Nostrand, 1968.
- [6] K. Kunen, A compact L-space under CH, Topology Appl. 12 (1981), 283-287.
- [7] D. Maharam, On homogeneous measure algebras, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 108-111. Zbl0063.03723
- [8] R. D. Mauldin, The existence of non-measurable sets, Amer. Math. Monthly 86 (1979), 45-46. Zbl0415.28002
- [9] H. P. Rosenthal, On injective Banach spaces and the spaces ${L}^{\infty}\left(\mu \right)$ for finite measures μ, Acta Math. 124 (1970), 205-248. Zbl0207.42803

## Citations in EuDML Documents

top- Mirna Džamonja, Kenneth Kunen, Properties of the class of measure separable compact spaces
- David Fremlin, On compact spaces carrying Radon measures of uncountable Maharam type
- Grzegorz Plebanek, Nonseparable Radon measures and small compact spaces
- Grzegorz Plebanek, Approximating Radon measures on first-countable compact spaces

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