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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Regularity of Riesz measures


Author: P. Prinz
Journal: Proc. Amer. Math. Soc. 96 (1986), 330-334
MSC: Primary 28C15; Secondary 54D18
DOI: https://doi.org/10.1090/S0002-9939-1986-0818467-6
MathSciNet review: 818467
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Abstract: It is shown that Riesz measures are inner regular, i.e., each Borel set may be approximated from inside by closed sets, if the basic space is metacompact or para-Lindelöf. On the other hand, an example is given to show that local compactness is not sufficient to ensure inner regularity of Riesz measures.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0818467-6
Article copyright: © Copyright 1986 American Mathematical Society