#
Eventually cyclic spectra of parameterized flows

##
John F. Kennison

This paper continues the work of our previous papers, *The cyclic
spectrum of a Boolean flow* TAC 10, 392-419 and *Spectra of finitely
generated Boolean flows* TAC 16, 434-459. We define eventually cyclic
Boolean flows and the eventually cyclic spectrum of a Boolean flow. We
show that this spectrum, as well as the spectra defined in our earlier
papers, extend to parametrized flows on Stone spaces and on compact
Hausdorff space when symbolic dynamics is used. An example shows that the
cyclic spectrum for a parameterized flow is sometimes
over a non-spatial locale.

Keywords:
Parameterized Boolean flow, dynamical systems,
spectrum, sheaf

2000 MSC:
06D22, 18B99, 37B99

*Theory and Applications of Categories,*
Vol. 22, 2009,
No. 14, pp 345-375.

http://www.tac.mta.ca/tac/volumes/22/14/22-14.dvi

http://www.tac.mta.ca/tac/volumes/22/14/22-14.ps

http://www.tac.mta.ca/tac/volumes/22/14/22-14.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/22/14/22-14.dvi

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/22/14/22-14.ps

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/22/14/22-14.pdf

TAC Home