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On the cohomology equivalence classes for non-singular mappings

Published online by Cambridge University Press:  01 December 1998

ISAAC KORNFELD  and
ANDREI KRYGIN
ISAAC KORNFELD
Affiliation:
North Dakota State University, Fargo ND 58105, USA
ANDREI KRYGIN
Affiliation:
North Dakota State University, Fargo ND 58105, USA
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Abstract

The structure of the cohomology equivalence classes for non-singular, not necessarily invertible mappings of probability spaces is studied. In particular, some results of Kochergin and Ornstein–Smorodinsky on the structure of these classes for measure-preserving automorphisms are generalized to the case of non-singular endomorphisms. Our approach is based on Hopf's maximal ergodic theorem and its proof by Garsia.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 6 , December 1998 , pp. 1385 - 1397
Copyright
1998 Cambridge University Press

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