Limits of inverse limits |
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Authors: | Iztok Bani? Matev? ?repnjak |
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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 |
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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? |
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Keywords: | 54C60 54B10 54D80 54F65 54B99 |
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