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
Recommended Citation
James O. Warren and Joseph H. Brown, The Strong Shadowing Property on the Unit Interval, Furman University Electronic Journal of Undergraduate Mathematics, 4 (2016), 9-14. Available at: https://scholarexchange.furman.edu/fuejum/vol4/iss1/2
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.