Title

Q & a in General Topology

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 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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

continuum; hyperspace; induced mappings; universal mapping

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1998 Symposium of General Topology, All rights reserved.

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