Geodesic
On Iterated Limits of Measurable Mappings
Canadian mathematical bulletin, Tome 8 (1965) no. 1, pp. 83-91

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

Egoroff' s theorem [1] was extended by Kvačko [3] to functions with values in a separable metric space; and, as is easily seen, this result applies also to separable pseudometric spaces. In the present note we shall use this theorem to obtain some propositions on iterated limits, which, despite their simplicity, seem not yet to be known in the proposed generality. 
Zakon, Elias. On Iterated Limits of Measurable Mappings. Canadian mathematical bulletin, Tome 8 (1965) no. 1, pp. 83-91. doi: 10.4153/CMB-1965-011-8
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[1] 1. Egoroff, D. T., Sur les suites de fonctions mesurables, C.R. Acad. Sci. Paris, 152(1911), 244-6. Google Scholar

[2] 2. Kelley, J., General Topology, D. Van Nostrand, N. Y., 1960. Google Scholar

[3] 3. Kvačko, M. E., On measurable mappings of spaces (Russian, English summary), Vestnik Leningr. Univ. 13(1958), no. 13, 87-101. (Quoted in Math. Reviews, 1959, no. 5267, p. 873). Google Scholar

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[5] 5. Weston, J. D., A counterexample concerning Egoroff' s theorem, J. London Math. Soc. 34(1959), 139-140. Google Scholar

[6] 6. Zakon, E., On, "essentially metrizable" spaces and on measurable functions with values in such spaces, (to appear in the Transactions, Am. Math. Society). Google Scholar

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