A Metric on Hyperspaces Defined by Whitney Maps

W. J. Charatonik

doi:10.1090/S0002-9939-1985-0787908-4

A Metric on Hyperspaces Defined by Whitney Maps

W. J. Charatonik

Missouri University of Science and Technology

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

Abstract

For a given continuum a new metric on the hyperspace is defined, which is equivalent to the Hausdorff distance, but which has some other properties.

Original language	American English
Journal	Proceedings of the American Mathematical Society
DOIs	https://doi.org/10.1090/S0002-9939-1985-0787908-4
State	Published - Jan 1 1985

Keywords

Hausdorff distance
Whitney map
continuum
hyperspace

Disciplines

Mathematics
Statistics and Probability

Access to Document

10.1090/S0002-9939-1985-0787908-4License: Unspecified

https://doi.org/10.1090/S0002-9939-1985-0787908-4

Cite this

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title = "A Metric on Hyperspaces Defined by Whitney Maps",

abstract = " For a given continuum a new metric on the hyperspace is defined, which is equivalent to the Hausdorff distance, but which has some other properties.",

keywords = "Hausdorff distance, Whitney map, continuum, hyperspace",

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

year = "1985",

month = jan,

day = "1",

doi = "10.1090/S0002-9939-1985-0787908-4",

language = "American English",

journal = "Proceedings of the American Mathematical Society",

issn = "1088-6826",

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T1 - A Metric on Hyperspaces Defined by Whitney Maps

AU - Charatonik, W. J.

PY - 1985/1/1

Y1 - 1985/1/1

N2 - For a given continuum a new metric on the hyperspace is defined, which is equivalent to the Hausdorff distance, but which has some other properties.

AB - For a given continuum a new metric on the hyperspace is defined, which is equivalent to the Hausdorff distance, but which has some other properties.

KW - Hausdorff distance

KW - Whitney map

KW - continuum

KW - hyperspace

UR - https://scholarsmine.mst.edu/math_stat_facwork/538

UR - https://doi.org/10.1090/S0002-9939-1985-0787908-4

U2 - 10.1090/S0002-9939-1985-0787908-4

DO - 10.1090/S0002-9939-1985-0787908-4

M3 - Article

SN - 1088-6826

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

ER -

A Metric on Hyperspaces Defined by Whitney Maps

Abstract

Keywords

Disciplines

Access to Document

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