On compactness and Loeb measures
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- by J. M. Aldaz
- Proc. Amer. Math. Soc. 123 (1995), 173-175
- DOI: https://doi.org/10.1090/S0002-9939-1995-1213854-4
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Abstract:
The purpose of this note is to show that neither a Loeb measure nor the image of a Loeb measure have to be compact, thus answering in the negative two questions of D. Ross.References
- Robert M. Anderson, Star-finite representations of measure spaces, Trans. Amer. Math. Soc. 271 (1982), no. 2, 667–687. MR 654856, DOI 10.1090/S0002-9947-1982-0654856-1
- David Ross, Compact measures have Loeb preimages, Proc. Amer. Math. Soc. 115 (1992), no. 2, 365–370. MR 1079898, DOI 10.1090/S0002-9939-1992-1079898-8
- Hermann Render, Pushing down Loeb measures, Math. Scand. 72 (1993), no. 1, 61–84. MR 1225997, DOI 10.7146/math.scand.a-12437
Bibliographic Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 173-175
- MSC: Primary 28E05; Secondary 03H05
- DOI: https://doi.org/10.1090/S0002-9939-1995-1213854-4
- MathSciNet review: 1213854