Atlas home || Conferences | Abstracts | about Atlas

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)

View Abstracts
Conference Homepage

Stability of Asymptotically Stable Sets for Continuous Functions
by
Roy A. Mimna
Youngstown State University
Coauthors: T.H. Steele (Weber State University, Ogden, UT)

Let K be the class of compact subsets of I=[0, 1] and let K* consist of the nonempty closed subsets of K. We study the map A:C(I, I) into K*, defined so that Cl(A(f)) is the closure of the collection of asymptotically stable sets of f. While the function A is clearly not necessarily continuous, we present conditions sufficient for A to be continuous.

Date received: May 13, 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-27.