Remarks on Induced Universal Mappings
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.
J. J. Charatonik and W. J. Charatonik, "Remarks on Induced Universal Mappings," Questions and Answers in General Topology, Topology Atlas, Jan 2000.
Mathematics and Statistics
Keywords and Phrases
continuum; induced mappings; monotone; universal mapping
Library of Congress Subject Headings
Article - Journal
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