×

Complete spaces and zero-one measures. (English) Zbl 0326.54019


MSC:

54D99 Fairly general properties of topological spaces
54D60 Realcompactness and realcompactification
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
28B15 Set functions, measures and integrals with values in ordered spaces
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] CHRISTENSEN, J.P.R.: Topology and Borel structure. Amsterdam: North-Holland 1974 · Zbl 0273.28001
[2] DYKES, N.: Generalizations of realcompact spaces. Pacific J. Math.33, 571-581 (1970) · Zbl 0197.19201
[3] FROLIK, Z.: Realcompactness is a Baire-measurable property. Bull. Acad. Polon. Sci., Ser. sc. math., astr. phys.19, 617-621 (1971) · Zbl 0224.54033
[4] GARDNER, R. J.: The regularity of Borel measures and Borel measure-compactness. Proc. London Math. Soc. (3)30, 95-113 (1975) · Zbl 0294.28001 · doi:10.1112/plms/s3-30.1.95
[5] GILLMAN, L., JERISON, M.: Rings of continuous functions. Princeton: Van Nostrand 1960 · Zbl 0093.30001
[6] HAGER, A.W., REYNOLDS, G.D., RICE, M.D.: Borel-complete topological spaces. Fund. Math.75, 135-143 (1972) · Zbl 0208.25101
[7] HEWITT, E.: Linear functionals on spaces of continuous functions. Fund. Math.37, 161-189 (1950) · Zbl 0040.06401
[8] KELLERER, H.G.: Ma?theorie. Vorlesungsausarbeitung. Bochum 1971
[9] STEEN, L.A., SEEBACH, J.A.: Counterexamples in topology. New York: Holt, Rinehart and Winston 1970 · Zbl 0211.54401
[10] TOPS?E, F.: On construction of measures. Kobenhavns Universitet, Matematisk Institut, Preprint Series No. 27 1974 · Zbl 0289.28005
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.