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Limit properties of induced mappings |
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| Authors: | Janusz J Charatonik W odzimierz J Charatonik |
| Institution: | Janusz J. Charatonik,W |
| Abstract: | Given a class of mappings f between continua, near- stands for the class of uniform limits of sequences of mappings from . Let 2f and C(f) mean the induced mappings between hyperspaces. Relations are studied between the conditions: f near- , 2f near- and C(f) near- . A special attention is paid to the classes of open and of monotone mappings. |
| Keywords: | Continuum Homeomorphism Hyperspace Induced mapping Monotone Near-monotone Near-open Open |
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