Mappings between inverse limits of continua with multivalued bonding functions |
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Authors: | W?odzimierz J Charatonik Robert P Roe |
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Institution: | Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409, United States |
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Abstract: | We investigate the limit mappings between inverse limits of continua with upper semi-continuous bonding functions. Results are obtained when the coordinate mappings are surjective, one-to-one or homeomorphisms. We construct examples showing the hypothesis of the theorems are essential. Further, we construct an example showing that, unlike for the inverse limits with single valued maps, properties of being monotone, confluent or weakly confluent mappings between factor spaces are not preserved in the inverse limit map. |
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Keywords: | 54C60 54D30 54F15 54F05 |
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