Q & A in General Topology

J. J. Charatonik; W. J. Charatonik

Q & A in General Topology

J. J. Charatonik
, W. J. Charatonik

Missouri University of Science and Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Questions and Answers in General Topology
State	Published - Jan 1 1998

Keywords

continuum
hyperspace
induced mappings
universal mapping

Disciplines

Mathematics
Statistics and Probability

Cite this

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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.",

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author = "Charatonik, \{J. J.\} and Charatonik, \{W. J.\}",

year = "1998",

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AU - Charatonik, W. J.

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N2 - 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.

AB - 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.

KW - continuum

KW - hyperspace

KW - induced mappings

KW - universal mapping

UR - https://scholarsmine.mst.edu/math_stat_facwork/464

M3 - Article

JO - Questions and Answers in General Topology

JF - Questions and Answers in General Topology

ER -

Q & A in General Topology

Abstract

Keywords

Disciplines

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