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Homeomorphic measures
in the Hilbert cube
John C. Oxtoby and Vidhu S. Prasad |
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Vol. 77 (1978), No. 2, 483–497
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Abstract |
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A Borel probability measure μ in the Hilbert cube is homeomorphic to the usual product measure if and only if it is positive for nonempty open sets and zero for points. The transformation can be effected by a homeomorphism equal to the identity on any prescribed μ-null Z-set. Several extension, approximation, and embedding theorems are obtained as applications. |
Mathematical Subject Classification 2000
Primary: 28A35
Secondary: 28C15
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Milestones
Received: 3 October 1977
Published: 1 August 1978
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Authors |
| John C. Oxtoby | |
| Vidhu S. Prasad | |
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