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SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

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Lifting of Almost Periodicity of a Point
by
Alica Miller
Michigan State University

Let f: X --> Y be a morphism of flows, y an almost periodic point in Y and x in f-1(y). In general x is not necessarily almost periodic, but several conditions are known under which that happens. They fall into either ``compact" or ``noncompact" conditions, depending on whether X and Y are assumed to be compact or not. In ``noncompact" conditions other assumptions are restrictive. We find a criterion for lifting of almost periodicity of y, which generalizes both ``compact" and ``noncompact" conditions at the same time.

Date received: May 24, 2001

Copyright © 2001 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 # cagw-83.