Homeomorphic measures in the Hilbert cube.
John C. Oxtoby and Vidhu S. Prasad
Source: Pacific J. Math. Volume 77, Number 2 (1978), 483-497.
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Links and Identifiers
 S. Alpern and R. D. Edwards, Lusin's theorem for measure preserving homeomor- phisms, (to appear).
Mathematical Reviews (MathSciNet): MR81j:28025
 T. A. Chapman, Lectures on Hilbert cube manifolds, C.B.M.S. Regional conference series in mathematics No. 28, Amer. Math. Soc, Providence, R.I., 1977.
Mathematical Reviews (MathSciNet): MR54:11336
 C. Goffman, One-one measurable transformations,Acta Math., 89 (1953), 261-278.
 C. Goffman and G. Pedrick, A proof of the homeomorphismofLebesgue-Stieltjes measure with Lebesgue measure, Proc. Amer. Math. Soc, 52 (1975), 196-198.
 J. C. Oxtoby, Approximationby measure-preservinghomeomorphisms,Recent Advances in Topological Dynamics; Lecture Notes in Mathematics Vol. 318, Springer, Berlin, 1973, 206-217.
 J. C. Oxtoby and S. M. Ulam, On the equivalence of any set of first category to a set of measure zero, Fund. Math., 31 (1938), 201-206.
Zentralblatt MATH: 0019.29605
 J. C. Oxtoby and S. M. Ulam, Measure-preserving homeomorphisms and metrical transitivity,Ann. of Math., (2) 42 (1941), 874-920.
 V. S. Prasad, Approximationof 1-1 measurable transformationsof I by homeo- morphisms, Notices Amer. Math. Soc, 23 (1976), A-485.
 A. H. Stone, Topology and measure theory, Measure Theory, Oberwolfach 1975; Lecture Notes in Mathematics Vol. 541, Springer, Berlin, 1976, 43-48.
 A. H. Stone, Measure-preserving maps, Prague Symposium on General Topology, August 1976.
 H. E. White Jr., The approximationof one-one measurable transformationsby measure-preservinghomeomorphisms, Proc. Amer. Math. Soc, 44 (1974), 391-394.