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The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference
March 7-9, 1996
Ball State University
Muncie, IN, USA

Organizers
John Emert, Kerry Jones, Roger Nelson

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Flows with no minimal sets
by
Krystyna Kuperberg
Auburn University

A minimal set for a flow \Phi: R ×M --> M is a set that is invariant, closed, non-empty, and minimal in that respect. T. Inaba proved that there is a flow with no minimal set on a 2-dimensional surface of infinite genus. To answer a question of P.A. Schweitzer, we show that not every flow on R3 has a minimal set.

Date received: January 31, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaa-27.