Limit Properties of Induced Mappings
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.
Recommended Citation
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 https://doi.org/10.1016/S0166-8641(98)00096-0
Department(s)
Mathematics and Statistics
Keywords and Phrases
Continuum; Induced Mapping; Monotone; Near-Monotone; Near-Open; Open; Homeomorphisms; Hyperspace
International Standard Serial Number (ISSN)
0166-8641
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1999 Elsevier, All rights reserved.
Publication Date
01 Jan 1999
