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Limits of inverse limits
Authors:Iztok Bani?  Matev? ?repnjak
Affiliation:a Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, Maribor 2000, Slovenia
b Institute of Mathematics, Physics and Mechanics, Jadranska 19, Ljubljana 1000, Slovenia
Abstract:We study the following problem: if a sequence of graphs of upper semi-continuous set valued functions fn converges to the graph of a function f, is it true that the sequence of corresponding inverse limits obtained from fn converges to the inverse limit obtained from f?
Keywords:54C60   54B10   54D80   54F65   54B99
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