Q & a in General Topology
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 denote by 21 (by C(J)) the induced mappings between hyperspaces of all nonempty compact subsets (of all nonempty subcontinua) of X and Y, respectively. Implications are discussed from universality of one of these three mappings to universality of the other ones. Some examples are constructed and questions are asked.
J. J. Charatonik and W. J. Charatonik, "Q & a in General Topology," Questions and Answers in General Topology, Symposium of General Topology, Jan 1998.
Mathematics and Statistics
Keywords and Phrases
continuum; hyperspace; induced mappings; universal mapping
Article - Journal
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