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Extension of Set Functions to Measures and Applications to Inverse Limit Measures

Published online by Cambridge University Press:  20 November 2018

D. Mallory
D. Mallory*
Affiliation:
Department of Mathematics, Simon Fraser University Burnaby, British Columbia CanadaV5A 1S6
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In measure theory and probability it is often useful to be able to extend a set function g to a measure μ. One situation in which such an extension arises is that of obtaining limit measures for inverse (or projective) systems of measure spaces ([1], [5]).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 4 , October 1975 , pp. 547 - 553
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Choksi, J. R., Inverse limits of measure spaces, Proc. London Math. Soc. 8 (1958) 321–342.Google Scholar
2. Mallory, D. J. and M. Sion, Limits of inverse systems of measures, Ann. Inst. Fourier, Grenoble 21, 1 (1971) 25–57.Google Scholar
3. Marczewski, E., On compact measures, Fund Math. 40 (1953) 113–124.Google Scholar
4. Marczewski, E. and Ryll-Nardzewski, C., Remarks on the compactness and non-direct products of measures, Fund. Math. 40 (1953) 165–170.Google Scholar
5. Metivier, M., Limites projectives de mesures, Martingales Applications, Ann. di Mathematica 63 (1963) 225–352.Google Scholar