A Homogeneous Continuum Without the Property of Kelley

W. J. Charatonik

doi:10.1016/S0166-8641(98)00055-8

A Homogeneous Continuum Without the Property of Kelley

W. J. Charatonik

Missouri University of Science and Technology

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

Abstract

We generalize the property of Kelley for continua to the non-metric case. Basic properties that are true in metric case are shown to be true in general. An example is constructed showing that, unlike for metric continua, the homogeneity does not imply the property of Kelley.

Original language	American English
Journal	Topology and its Applications
DOIs	https://doi.org/10.1016/S0166-8641(98)00055-8
State	Published - Oct 1 1999

Keywords

continuum
effros property
homogeneous
property of Kelley

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1016/S0166-8641(98)00055-8

Cite this

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title = "A Homogeneous Continuum Without the Property of Kelley",

abstract = " We generalize the property of Kelley for continua to the non-metric case. Basic properties that are true in metric case are shown to be true in general. An example is constructed showing that, unlike for metric continua, the homogeneity does not imply the property of Kelley.",

keywords = "continuum, effros property, homogeneous, property of Kelley",

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

year = "1999",

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doi = "10.1016/S0166-8641(98)00055-8",

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N2 - We generalize the property of Kelley for continua to the non-metric case. Basic properties that are true in metric case are shown to be true in general. An example is constructed showing that, unlike for metric continua, the homogeneity does not imply the property of Kelley.

AB - We generalize the property of Kelley for continua to the non-metric case. Basic properties that are true in metric case are shown to be true in general. An example is constructed showing that, unlike for metric continua, the homogeneity does not imply the property of Kelley.

KW - continuum

KW - effros property

KW - homogeneous

KW - property of Kelley

UR - https://scholarsmine.mst.edu/math_stat_facwork/520

UR - https://doi.org/10.1016/S0166-8641(98)00055-8

U2 - 10.1016/S0166-8641(98)00055-8

DO - 10.1016/S0166-8641(98)00055-8

M3 - Article

JO - Topology and its Applications

JF - Topology and its Applications

ER -

A Homogeneous Continuum Without the Property of Kelley

Abstract

Keywords

Disciplines

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