Contractibility of the automorphism group of a nonatomic measure space.
Author:
Michael Keane
Journal:
Proc. Amer. Math. Soc. 26 (1970), 420-422
MSC:
Primary 28.70; Secondary 47.00
DOI:
https://doi.org/10.1090/S0002-9939-1970-0265555-X
MathSciNet review:
0265555
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Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that the group of automorphisms of a nonatomic finite measure space is contractible.
- Shigeharu Harada, Remarks on the topological group of measure preserving transformations, Proc. Japan Acad. 27 (1951), 523–526. MR 47673
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Additional Information
Keywords:
Measure preserving automorphisms,
contractibility,
induced transformations
Article copyright:
© Copyright 1970
American Mathematical Society