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Abstract

We study continuous maps of the unit interval into itself. We determine necessary and suffcient conditions so that all pseudo-orbits can be approximated by orbits with the same initial point.

Faculty Advisor Name

Timothy Pennings

Faculty Advisor Institution

Hope College

Suggested Mathematics Subject Classification(s)

58F03

Comments

This work was originally done in 1993 when both authors participated in an NSF REU at Hope College. At that time James O. Warren was an undergraduate at Texas A&M University and Joseph H. Brown was an undergraduate at North Dakota State University.

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Mathematics Commons

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