A classification of CO spaces which are continuous images of compact ordered spaces

Robert Bonnet; Matatyahu Rubin

doi:10.1016/j.topol.2007.09.015

A classification of CO spaces which are continuous images of compact ordered spaces

Robert Bonnet, Matatyahu Rubin

Department of Mathematics

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

1 Scopus citations

Abstract

A topological space X is called a CO space, if every closed subset of X is homeomorphic to some clopen subset of X. Every ordinal with its order topology is a CO space. This work gives a complete classification of CO spaces which are continuous images of compact ordered spaces.

Original language	English
Pages (from-to)	375-411
Number of pages	37
Journal	Topology and its Applications
Volume	155
Issue number	5
DOIs	https://doi.org/10.1016/j.topol.2007.09.015
State	Published - 15 Jan 2008

Keywords

Compact orderable spaces
Continuous images
Scattered spaces
Superatomic Boolean algebras

ASJC Scopus subject areas

Geometry and Topology

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10.1016/j.topol.2007.09.015

Cite this

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title = "A classification of CO spaces which are continuous images of compact ordered spaces",

abstract = "A topological space X is called a CO space, if every closed subset of X is homeomorphic to some clopen subset of X. Every ordinal with its order topology is a CO space. This work gives a complete classification of CO spaces which are continuous images of compact ordered spaces.",

keywords = "Compact orderable spaces, Continuous images, Scattered spaces, Superatomic Boolean algebras",

author = "Robert Bonnet and Matatyahu Rubin",

note = "Funding Information: * Corresponding author. Tel.: +33 4 78 60 15 76; fax: +33 4 79 75 81 42. E-mail addresses: [email protected] (R. Bonnet), [email protected] (M. Rubin). 1 Supported by the “Center for Advanced Studies in Mathematics” (Ben Gurion University of the Negev, Beer Sheva).",

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AU - Rubin, Matatyahu

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PY - 2008/1/15

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N2 - A topological space X is called a CO space, if every closed subset of X is homeomorphic to some clopen subset of X. Every ordinal with its order topology is a CO space. This work gives a complete classification of CO spaces which are continuous images of compact ordered spaces.

AB - A topological space X is called a CO space, if every closed subset of X is homeomorphic to some clopen subset of X. Every ordinal with its order topology is a CO space. This work gives a complete classification of CO spaces which are continuous images of compact ordered spaces.

KW - Compact orderable spaces

KW - Continuous images

KW - Scattered spaces

KW - Superatomic Boolean algebras

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JO - Topology and its Applications

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ER -

A classification of CO spaces which are continuous images of compact ordered spaces

Abstract

Keywords

ASJC Scopus subject areas

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