The Conley index over a phase space for flows

Jacek Szybowski

Abstract


We construct the Conley index over a phase space for flows. Our
definition is an alternative for the Conley index over a base
defined in [M. Mrozek, J.F. Reineck and R. Srzednicki, < i> The Conley index
over a base< /i> , Trans. Amer. Math. Soc. < b> 352< /b> (2000), 4171-4194].
We also compare it to other Conley-type
indices and prove its continuation property.

Keywords


Conley index; isolated invariant set; continuation

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