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Counterexamples in Nonstandard Measure Theory

Published online by Cambridge University Press:  20 November 2018

J. M. Aldaz  and
P. A. Loeb
J. M. Aldaz
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad Autόnoma de Madrid, 28049 Madrid, Spain, e-mail:[email protected]
P. A. Loeb
Affiliation:
Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois 61801, U.S.A. e-mail:[email protected]
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Abstract

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We show that several "good" properties of the standard part map on regular Hausdorff spaces do not hold for arbitrary Hausdorff spaces.

Keywords

28E0503H05Loeb measuresstandard part map
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 3 , 01 September 1995 , pp. 257 - 261
Copyright
Copyright © Canadian Mathematical Society 1995

References

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