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This article is cited in 26 scientific papers (total in 26 papers)
Cohomology of dynamical systems
A. N. Livshits
Abstract:
In this paper criteria for the cohomological nullity of functions on phase spaces of various dynamical systems (U-systems, topological Markov chains, Smale systems) with coefficients in certain groups are formulated and proved, and applications of these criteria are studied. (In the simplest case of a transformation $T\colon M\to M$, the cohomological nullity of a real function $f$ means that $f(x)=g(Tx)-g(x)$.)
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Mathematics of the USSR-Izvestiya, 1972, 6:6, 1278–1301
Bibliographic databases:
 
UDC:
517.9
MSC: Primary 58F99, 57F99; Secondary 34C20, 60J10
Received: 27.12.1971
Citation:
A. N. Livshits, “Cohomology of dynamical systems”, Izv. Akad. Nauk SSSR Ser. Mat., 36:6 (1972), 1296–1320; Math. USSR-Izv., 6:6 (1972), 1278–1301
Citation in format AMSBIB
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\by A.~N.~Livshits
\paper Cohomology of dynamical systems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1972
\vol 36
\issue 6
\pages 1296--1320
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=334287}
\zmath{https://zbmath.org/?q=an:0252.58007}
\transl
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 6
\pages 1278--1301
\crossref{https://doi.org/10.1070/IM1972v006n06ABEH001919}
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