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On classes of null sets

Published online by Cambridge University Press:  09 April 2009

John Lloyd
John Lloyd
Affiliation:
Department of Mathematics, University of NewcastleNew South Wales, Australia
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Results concerning classes of null sets have been obtained by various authors. See, for example, [3], [4], [6], [7]. This paper contains results concerning classes of null sets and the notion of a ‘small system’. The motivation for considering ‘small systems’ comes from a paper by Riečan (c.f. [2]).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 3 , November 1972 , pp. 317 - 328
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Halmos, P. R., Measure Theory (Van Nostrand, New York, 1950).CrossRefGoogle Scholar
[2]Riečan, B., ‘Abstract Formulation of Some Theorems of Measure Theory’, Mat.-Fyz. Časopis Slovan Akad. Vied 16, 3, (1966), 268–273.Google Scholar
[3]Ficker, V., ‘Dominated Classes and Related Questions’, Acta Fac. Rerum Natur. Univ. Comenian 10, 7, (1966), 3–18.Google Scholar
[4]Ficker, V., ‘An Abstract Formulation of the Lebesgue Decomposition Theorem’, J. Aust. Math. Soc. 12 (1971), 101–105.CrossRefGoogle Scholar
[5]Zaanen, A., Integration (North-Holland, Amsterdam, 1967).Google Scholar
[6]Sucheston, L., ‘A Note on Conservative Transformations and the Recurrence Theorem’, Amer. J. Math. 79 (1957, 444–447.CrossRefGoogle Scholar
[7]Neubrunn, T., ‘Remark on Absolute Continuity of Measures’, (Russian) Mat. -Fyz. Časopis Slovan. Akad. Vied 16 (1966), 21–30.Google Scholar