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
Keywords: flow on compact spaces, periodic and cocyclic flows, almost cocyclic flows
@article{TAC_2011_25_a17,
author = {Michael Barr and John F. Kennison and R. Raphael},
title = {Flows: cocyclic and almost cocyclic},
journal = {Theory and applications of categories},
pages = {490--507},
year = {2011},
volume = {25},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2011_25_a17/}
}
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/