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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The group of measure preserving transformations of the unit interval is an absolute retract


Author: Nguyen To Nhu
Journal: Proc. Amer. Math. Soc. 110 (1990), 515-522
MSC: Primary 28D15; Secondary 54C55, 58D07
MathSciNet review: 1009997
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Abstract: 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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1009997-6
PII: S 0002-9939(1990)1009997-6
Keywords: Measure preserving transformations, absolute retract, Hilbert space
Article copyright: © Copyright 1990 American Mathematical Society