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On generalized Borel sets
Published online by Cambridge University Press: 09 April 2009
Abstract
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A certain natural extension B of the Borel σ-algebra is studied in generalized weakly θ-refinable spaces. It is shown that a set belongs to B whenever it belongs to B locally. From this it is derived that if ℵωα is more complicated than aunion of less than ℵα weakly θ-refinable subspaces.
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- Copyright © Australian Mathematical Society 1978
References
Bennett, H. R. and Lutzer, D. J. (1972), “A note on weak θ-refinability”, Gen. Topology Appl. 2, 49–54.CrossRefGoogle Scholar
Ulam, S. (1930), “Zur Masstheorie in der allgemeinen Mengenlehre”, Fund. Math. 16, 140–150.CrossRefGoogle Scholar
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