Paths through inverse limits
by
Iztok Banič
University of Maribor
Coauthors: Matevž Črepnjak, Matej Merhar, Uroš Milutinović

It was proved in 2009 that if a sequence of graphs of surjective upper semi-continuous set-valued functions f_n:X→ 2^X converges to the graph of a continuous single-valued function f:X→ X, then the sequence of corresponding inverse limits obtained from f_n converges to the inverse limit obtained from f. In this talk more general results will be presented in which surjectivity of f_n is not required. These new results will be applied to inverse limits with tent maps. Among other applications, it will be shown that the inverse limits appearing in the Ingram conjecture (with a point added) form an arc.

Date received: January 16, 2010