Ordered compactification of totally ordered spaces

A complete description of the T2-ordered compactifications of a totally ordered space X is given in terms of the simple and essential singularities.

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Bibliographic Details
Main Authors: D. C. Kent, T. A. Richmond
Format: Article
Language:English
Published: Wiley 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171288000833
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author D. C. Kent
T. A. Richmond
author_facet D. C. Kent
T. A. Richmond
author_sort D. C. Kent
collection DOAJ
description A complete description of the T2-ordered compactifications of a totally ordered space X is given in terms of the simple and essential singularities.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1988-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8ce32b1d8cb94ebc81f09a2e61415b512025-08-20T03:37:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111468369410.1155/S0161171288000833Ordered compactification of totally ordered spacesD. C. Kent0T. A. Richmond1Department of Pure and Applied Mathematics, Washington State University, Pullman 99164-2930, Washington, USADepartment of Mathematics, Western Kentucky University, Bowling Green 42101, Kentucky, USAA complete description of the T2-ordered compactifications of a totally ordered space X is given in terms of the simple and essential singularities.http://dx.doi.org/10.1155/S0161171288000833totally ordered spaceT2-ordered compactificationsimple singularityessential singularityWallman ordered compactification.
spellingShingle D. C. Kent
T. A. Richmond
Ordered compactification of totally ordered spaces
International Journal of Mathematics and Mathematical Sciences
totally ordered space
T2-ordered compactification
simple singularity
essential singularity
Wallman ordered compactification.
title Ordered compactification of totally ordered spaces
title_full Ordered compactification of totally ordered spaces
title_fullStr Ordered compactification of totally ordered spaces
title_full_unstemmed Ordered compactification of totally ordered spaces
title_short Ordered compactification of totally ordered spaces
title_sort ordered compactification of totally ordered spaces
topic totally ordered space
T2-ordered compactification
simple singularity
essential singularity
Wallman ordered compactification.
url http://dx.doi.org/10.1155/S0161171288000833
work_keys_str_mv AT dckent orderedcompactificationoftotallyorderedspaces
AT tarichmond orderedcompactificationoftotallyorderedspaces