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Riecanova, Zdena

On two strengthenings of regularity of measures. (English) Zbl 0444.28004

Math. Slovaca 30, 281-288 (1980).
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MSC:

28A12 Contents, measures, outer measures, capacities

Keywords:

completion regularity; monogenity; approximation property of two sigma- rings; small systems; existence of unique extension

Citations:

Zbl 0126.080
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\textit{Z. Riecanova}, Math. Slovaca 30, 281--288 (1980; Zbl 0444.28004)
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References:

[1] BERBERIAN S. K.: Measure and integration. New York 1965. · Zbl 0126.08001
[2] GARDNER R. J.: The regularity of Borel measure and Borel measure - compactness. Proc. London Math. Soc., 30, 1975, 95-113. · Zbl 0294.28001
[3] KOMORNÍK J.: Correspondence between semimeasures and small systems. Mat. časop., 25, 1975, 59-62.
[4] LLOYD J.: On classes of null sets. The Journal of the Austr. Math. Soc., 14, 1972, 317-328. · Zbl 0243.28004
[5] MARTIN A. F.: A note on monogenic Baire measure. Amer. Math. Mounthly, 84, 1977, 554-555. · Zbl 0368.28004
[6] NEUBRUNN T.: On an abstract formulation of absolute continuity and dominancy. Mat. časop., 19, 1969, 202-215. · Zbl 0186.09801
[7] PLACHKY D.: Extremal and monogenic additive set functions. Proc. Amer. Math. Soc., 54, 1976, 193-196. · Zbl 0285.28005
[8] RIEČAN B.: Abstract formulation of some theorems of measure theory. Mat.-fyz. časop., 16, 1966, 268-273. · Zbl 0174.34402
[9] RIEČAN B.: Subadditive measures and small systems. Čas. pěst. mat., 99, 1974, 279-285. · Zbl 0289.28003
[10] RIEČANOVA Z.: On an abstract formulation of regularity. Mat. časop., 21, 1971, 117-123. · Zbl 0223.28001
[11] RIEČANOVA Z.: A monogenic Baire measure need not be completion regular. Mat. časop., 24, 1974, 275-276. · Zbl 0287.28001
[12] ULAM S.: Masstheorie in der allgemeinen Mengenlehre. Fundam. Math., 16, 1930, 140-150. · JFM 56.0920.04
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