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A note an homeomorphic measures on topological groups

Published online by Cambridge University Press:  20 January 2009

Sidney A. Morris  and
Vincent C. Peck
Sidney A. Morris
Affiliation:
La Trobe University, BundooraVictoria 3083, Australia
Vincent C. Peck
Affiliation:
Tulane University, New Orleans, La, 70118, U.S.A.
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The classical von Neumann–Oxtoby–Ulam Theorem states the following:

Given non-atomic Borel probability measures μ, λ on In such that

there exists a homeomorphism h of In onto itself fixing the boundary pointwise such that for any λ-measurable set S

It is known that the above theorem remains valid if In is replaced by any compact finite dimensional manifold [2], [4] or with I∞, the Hilbert cube, [8].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , Issue 2 , June 1983 , pp. 169 - 171
Copyright
Copyright © Edinburgh Mathematical Society 1983

References

REFERENCES

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