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On generalized Borel sets

Published online by Cambridge University Press:  09 April 2009

W. F. Pfeffer
Affiliation:
Department of Mathematics University of CaliforniaDavis, California 95616USA
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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1978

References

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