Inverse Limits and Openness of the Induced Mappings

J. J. Charatonik; W. J. Charatonik

doi:10.1016/S0166-8641(00)00044-4

Inverse Limits and Openness of the Induced Mappings

J. J. Charatonik
, W. J. Charatonik

Missouri University of Science and Technology

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

Abstract

The pointed versions of exactness of commutative diagrams and of exactness and limit exactness of mappings between inverse systems are introduced. These concepts are used to investigate interiority of a limit mapping between inverse limits of topological spaces. The obtained results are applied to show openness of some induced mappings between hyperspaces.

Original language	American English
Journal	Topology and its Applications
DOIs	https://doi.org/10.1016/S0166-8641(00)00044-4
State	Published - Aug 1 2001

Keywords

Exact Diagram
Hyperspace
Induced Mapping
Inverse Limit
Inverse System
Limit Mapping
Open Mapping

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1016/S0166-8641(00)00044-4

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title = "Inverse Limits and Openness of the Induced Mappings",

abstract = " The pointed versions of exactness of commutative diagrams and of exactness and limit exactness of mappings between inverse systems are introduced. These concepts are used to investigate interiority of a limit mapping between inverse limits of topological spaces. The obtained results are applied to show openness of some induced mappings between hyperspaces.",

keywords = "Exact Diagram, Hyperspace, Induced Mapping, Inverse Limit, Inverse System, Limit Mapping, Open Mapping",

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

year = "2001",

month = aug,

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doi = "10.1016/S0166-8641(00)00044-4",

language = "American English",

journal = "Topology and its Applications",

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AU - Charatonik, W. J.

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N2 - The pointed versions of exactness of commutative diagrams and of exactness and limit exactness of mappings between inverse systems are introduced. These concepts are used to investigate interiority of a limit mapping between inverse limits of topological spaces. The obtained results are applied to show openness of some induced mappings between hyperspaces.

AB - The pointed versions of exactness of commutative diagrams and of exactness and limit exactness of mappings between inverse systems are introduced. These concepts are used to investigate interiority of a limit mapping between inverse limits of topological spaces. The obtained results are applied to show openness of some induced mappings between hyperspaces.

KW - Exact Diagram

KW - Hyperspace

KW - Induced Mapping

KW - Inverse Limit

KW - Inverse System

KW - Limit Mapping

KW - Open Mapping

UR - https://scholarsmine.mst.edu/math_stat_facwork/304

UR - https://doi.org/10.1016/S0166-8641(00)00044-4

U2 - 10.1016/S0166-8641(00)00044-4

DO - 10.1016/S0166-8641(00)00044-4

M3 - Article

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Inverse Limits and Openness of the Induced Mappings

Abstract

Keywords

Disciplines

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