Remarks on Induced Universal Mappings

J. J. Charatonik; W. J. Charatonik

Remarks on Induced Universal Mappings

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 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.

Original language	American English
Journal	Questions and Answers in General Topology
State	Published - Jan 1 2000

Keywords

Continuum
Hyperspace
Induced Mappings
Monotone
Universal Mapping

Disciplines

Mathematics
Statistics and Probability

Cite this

@article{ee262bcac9894b80977a993f5b11c914,

title = "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.",

keywords = "Continuum, Hyperspace, Induced Mappings, Monotone, Universal Mapping",

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

year = "2000",

month = jan,

day = "1",

language = "American English",

journal = "Questions and Answers in General Topology",

}

TY - JOUR

T1 - Remarks on Induced Universal Mappings

AU - Charatonik, J. J.

AU - Charatonik, W. J.

PY - 2000/1/1

Y1 - 2000/1/1

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 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.

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 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.

KW - Continuum

KW - Hyperspace

KW - Induced Mappings

KW - Monotone

KW - Universal Mapping

UR - https://scholarsmine.mst.edu/math_stat_facwork/465

M3 - Article

JO - Questions and Answers in General Topology

JF - Questions and Answers in General Topology

ER -

Remarks on Induced Universal Mappings

Abstract

Keywords

Disciplines

Other files and links

Fingerprint

Cite this