Remarks on Induced Universal Mappings
Abstract
A mapping between topological spaces is universal if it has a coincidence point with any mapping between the spaces. Given a mapping f between continua X and Y we done by 2f (by C(f)) the induced mappings between hyperspaces of all nonempty compact subsets (of all nonempty subcontinua) of X and Y, respectively. Conditions are discussed under which the induced mappings are universal. Some examples are constructed and questions are asked.
Recommended Citation
J. J. Charatonik and W. J. Charatonik, "Remarks on Induced Universal Mappings," Questions and Answers in General Topology, Topology Atlas, Jan 2000.
Department(s)
Mathematics and Statistics
Keywords and Phrases
Continuum; Induced Mappings; Monotone; Universal Mapping; Hyperspace
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2000 Topology Atlas, All rights reserved.
Publication Date
01 Jan 2000
