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Flows: cocyclic and almost cocyclic

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Michael Barr, John F. Kennison, and R. Raphael

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.

Keywords:
flow on compact spaces, periodic and cocyclic flows, almost
cocyclic flows

2000 MSC:
18B30,37C55,54C30,54B30

*Theory and Applications of Categories,*
Vol. 25, 2011,
No. 18, pp 490-507.

Published 2011-11-19.

http://www.tac.mta.ca/tac/volumes/25/18/25-18.dvi

http://www.tac.mta.ca/tac/volumes/25/18/25-18.ps

http://www.tac.mta.ca/tac/volumes/25/18/25-18.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/25/18/25-18.dvi

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/25/18/25-18.ps

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