Cardinaux 2-mesurables et cônes faiblement complets
Annales de l'Institut Fourier, Volume 17 (1967) no. 2, pp. 383-393.

On caractérise les ensembles I tels que R + (I) soit complet pour σ(R (I) ,R I ) ; plus généralement, on étudie un problème analogue pour un cône de mesures positives sur un espace complètement régulier.

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     author = {Choquet, Gustave},
     title = {Cardinaux 2-mesurables et c\^ones faiblement complets},
     journal = {Annales de l'Institut Fourier},
     pages = {383--393},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {17},
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Choquet, Gustave. Cardinaux 2-mesurables et cônes faiblement complets. Annales de l'Institut Fourier, Volume 17 (1967) no. 2, pp. 383-393. doi : 10.5802/aif.274. http://archive.numdam.org/articles/10.5802/aif.274/

[1] G. Choquet, Ensembles et cônes convexes faiblement complets, C.R. Acad. Sc., t. 254, Mars 1962, 2123-2125. | MR | Zbl

[2] L. Gillman et M. Jerison, Rings of continuous functions, Van Nostrand. | Zbl

[3] I. Glicksberg, The representation of functionals by integrals, Duke Math. J., 19 (1952), 253-261. | MR | Zbl

[4] E. Hewitt, Rings of real valued continuous functions I, Trans. Amer. Math. Soc., 64 (1948), 54-99. | MR | Zbl

[5] E. Hewitt, Linear functionals on spaces of continuous functions, Fund. Math., 37, (1950), 161-189. | MR | Zbl

[6] J. L. Kelley et I. Namioka, Linear topological spaces, Princeton, (1963). | MR | Zbl

[7] G. W. Mackey, Equivalence of a problem in measure theory to a problem in the theory of vector lattices, Bull. Amer. Math. Soc., 50 (1944), 719-722. | MR | Zbl

[8] D. Scott, Mesurable cardinals and constructible sets, Bull. Acad. Pol., Vol. 9, (1961), pp. 521-524. | MR | Zbl

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