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The Group of Measure Preserving Transformations of the Unit Interval is an Absolute Retract
Nguyen to Nhu
Proceedings of the American Mathematical Society
Vol. 110, No. 2 (Oct., 1990), pp. 515-522
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2048098
Page Count: 8
You can always find the topics here!Topics: Topological theorems, Mathematical theorems, Mathematical transformations, Mathematical intervals, Topology, Hilbert spaces, Lebesgue measures, Metric spaces, Mathematical notation
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The group of measure preserving transformations of the unit interval equipped with the weak topology is an absolute retract, hence is homeomorphic to a separable Hilbert space.
Proceedings of the American Mathematical Society © 1990 American Mathematical Society