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Aldaz, J. M.; Loeb, P. A. Counterexamples in Nonstandard Measure Theory. Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 257-261. doi: 10.4153/CMB-1995-038-5
@article{10_4153_CMB_1995_038_5,
author = {Aldaz, J. M. and Loeb, P. A.},
title = {Counterexamples in {Nonstandard} {Measure} {Theory}},
journal = {Canadian mathematical bulletin},
pages = {257--261},
year = {1995},
volume = {38},
number = {3},
doi = {10.4153/CMB-1995-038-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-038-5/}
}
TY - JOUR AU - Aldaz, J. M. AU - Loeb, P. A. TI - Counterexamples in Nonstandard Measure Theory JO - Canadian mathematical bulletin PY - 1995 SP - 257 EP - 261 VL - 38 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-038-5/ DO - 10.4153/CMB-1995-038-5 ID - 10_4153_CMB_1995_038_5 ER -
A\àaz, J. M., A characterization of universal Loeb measurability for completely regular Hausdorffspaces, Canad. J. Math. (4) 44(1992), 673–690. Google Scholar
A\àaz, J. M., On compactness and Loeb measures, Proc. Amer. Math. Soc, to appear. Google Scholar
Anderson, R. M., Star-finite representations of measure spaces, Trans. Amer. Math. Soc. 271(1982), 667— 687. Google Scholar
Henson, C. W., Analytic sets, Baire sets and the standard part map, Canad. J. Math. 31(1979), 663–672. Google Scholar
Kunen, K., Inaccessibility Properties of Cardinals, Ph.D. Thesis, Stanford University, 1968. Google Scholar
Loeb, P. A., Weak limits of measures and the standard part map, Proc. Amer. Math. Soc. 77(1979), 128— 135. Google Scholar
Loeb, P. A., Afunctional approach to nonstandard measure theory, Contemp. Math. 26(1984), 251—261. Google Scholar
Landers, D. and Rogge, L., Universal Loeb-measurability of sets and of the standard part map with applications, Trans. Amer. Math. Soc. (1) 304(1987), 229–243. Google Scholar
Landers, D. and Rogge, L., Nichtstandard Analysis, Springer-Verlag, 1994. Google Scholar
Luxemburg, W. A. J., A general theory of monads. In: Applications of Model Theory to Algebra, Analysis and Probability, (ed. W. A. J. Luxemburg), Holt, Rinehart and Winston, 1969, 18-69. Google Scholar
Machover, M. and Hirschfleld, J., Lectures in Non-Standard Analysis, Lecture Notes in Math. 94, Springer- Verlag, 1968. Google Scholar
Render, H., Pushing down Loeb measures, Math. Scand. 72(1993), 61–84. Google Scholar
Render, H., Nonstandard topology on function spaces with applications to hyperspaces, Trans. Amer. Math. Soc. (1)336(1993), 101–119. Google Scholar
Ross, D., Compact measures have Loeb preimages, Proc. Amer. Math. Soc. 115(1992), 365–370. Google Scholar
Steen, L. A. and Seebach, J. A., Counterexamples in Topology, Springer-Verlag, 1986. Google Scholar
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