Limit Properties of Induced Mappings
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.
J. J. Charatonik and W. J. Charatonik, "Limit Properties of Induced Mappings," Topology and its Applications, Elsevier, Jan 1999.
The definitive version is available at http://dx.doi.org/10.1016/S0166-8641(98)00096-0
Mathematics and Statistics
Keywords and Phrases
Continuum; Induced Mapping; Monotone; Near-Monotone; Near-Open; Open; Homeomorphisms; Hyperspace
Article - Journal
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