Extension of Set Functions to Measures and Applications to Inverse Limit Measures
Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 547-553

Voir la notice de l'article provenant de la source Cambridge University Press

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]).
Mallory, D. Extension of Set Functions to Measures and Applications to Inverse Limit Measures. Canadian mathematical bulletin, Tome 18 (1975) no. 4, pp. 547-553. doi: 10.4153/CMB-1975-099-1
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[1] 1. Choksi, J. R., Inverse limits of measure spaces, Proc. London Math. Soc. 8 (1958) 321–342. Google Scholar

[2] 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] 3. Marczewski, E., On compact measures, Fund Math. 40 (1953) 113–124. Google Scholar

[4] 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] 5. Metivier, M., Limites projectives de mesures, Martingales Applications, Ann. di Mathematica 63 (1963) 225–352. Google Scholar

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