Every Monotone Open 2-homogeneous Metric Continuum Is Locally Connected

J. J. Charatonik; W. J. Charatonik

doi:10.1007/BF02844432

Every Monotone Open 2-homogeneous Metric Continuum Is Locally Connected

J. J. Charatonik
, W. J. Charatonik

Missouri University of Science and Technology

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

Abstract

It is observed that all results of Whittington's note [17] can be extended in two directions. The assumption of homogeneity of the considered spaces can be weakened to monotone open homogeneity, and homeomorphisms used in the results can be replaced by monotone open and closed mappings. In particular, the statement in the title is obtained.

Original language	American English
Journal	Rendiconti del Circolo Matematico di Palermo
DOIs	https://doi.org/10.1007/BF02844432
State	Published - Sep 1 2001

Keywords

continuum
homogeneous
locally connected
monotone
open
pseudo-arc

Disciplines

Mathematics
Statistics and Probability

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10.1007/BF02844432License: Unspecified

https://doi.org/10.1007/BF02844432

Cite this

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title = "Every Monotone Open 2-homogeneous Metric Continuum Is Locally Connected",

abstract = " It is observed that all results of Whittington's note [17] can be extended in two directions. The assumption of homogeneity of the considered spaces can be weakened to monotone open homogeneity, and homeomorphisms used in the results can be replaced by monotone open and closed mappings. In particular, the statement in the title is obtained.",

keywords = "continuum, homogeneous, locally connected, monotone, open, pseudo-arc",

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AU - Charatonik, W. J.

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Y1 - 2001/9/1

N2 - It is observed that all results of Whittington's note [17] can be extended in two directions. The assumption of homogeneity of the considered spaces can be weakened to monotone open homogeneity, and homeomorphisms used in the results can be replaced by monotone open and closed mappings. In particular, the statement in the title is obtained.

AB - It is observed that all results of Whittington's note [17] can be extended in two directions. The assumption of homogeneity of the considered spaces can be weakened to monotone open homogeneity, and homeomorphisms used in the results can be replaced by monotone open and closed mappings. In particular, the statement in the title is obtained.

KW - continuum

KW - homogeneous

KW - locally connected

KW - monotone

KW - open

KW - pseudo-arc

UR - https://scholarsmine.mst.edu/math_stat_facwork/248

UR - https://doi.org/10.1007/BF02844432

U2 - 10.1007/BF02844432

DO - 10.1007/BF02844432

M3 - Article

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

ER -

Every Monotone Open 2-homogeneous Metric Continuum Is Locally Connected

Abstract

Keywords

Disciplines

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