Geodesic
Flows: cocyclic and almost cocyclic
Theory and applications of categories, Tome 25 (2011), pp. 490-507.

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A flow on a compact Hausdorff space is an automorphism. Using the closed structure on the category of uniform spaces, a flow gives rise, by iteration, to an action of the integers on the topological group of automorphisms of the object. We study special classes of flows: periodic, cocyclic, and almost cocyclic, mainly in term of the possibility of extending this action continuously to various compactifications of the integers.
Publié le :
Classification : 18B30, 37C55, 54C30, 54B30
Keywords: flow on compact spaces, periodic and cocyclic flows, almost cocyclic flows 
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     url = {http://geodesic.mathdoc.fr/item/TAC_2011_25_a17/}
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Michael Barr; John F. Kennison; R. Raphael. Flows: cocyclic and almost cocyclic. Theory and applications of categories, Tome 25 (2011), pp. 490-507. http://geodesic.mathdoc.fr/item/TAC_2011_25_a17/