Mappings of terminal continua

The concept of a terminal continuum introduced in 1973 by G. R. Gordh Jr., for hereditarily unicoherent continua is extended to arbitrary continua. Mapping properties of these two concepts are investigated. Especially the invariance of terminality under mappings satisfying some special conditions is...

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Main Author: Janusz J. Charatonik
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202011407
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author Janusz J. Charatonik
author_facet Janusz J. Charatonik
author_sort Janusz J. Charatonik
collection DOAJ
description The concept of a terminal continuum introduced in 1973 by G. R. Gordh Jr., for hereditarily unicoherent continua is extended to arbitrary continua. Mapping properties of these two concepts are investigated. Especially the invariance of terminality under mappings satisfying some special conditions is studied. In particular, we conclude that the invariance holds for atomic mappings.
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institution Kabale University
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1687-0425
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publishDate 2002-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-022374aed38c4dd398ba7fdcde25d5072025-02-03T01:26:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01301061362010.1155/S0161171202011407Mappings of terminal continuaJanusz J. Charatonik0Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4, Wrocław 50-384, PolandThe concept of a terminal continuum introduced in 1973 by G. R. Gordh Jr., for hereditarily unicoherent continua is extended to arbitrary continua. Mapping properties of these two concepts are investigated. Especially the invariance of terminality under mappings satisfying some special conditions is studied. In particular, we conclude that the invariance holds for atomic mappings.http://dx.doi.org/10.1155/S0161171202011407
spellingShingle Janusz J. Charatonik
Mappings of terminal continua
International Journal of Mathematics and Mathematical Sciences
title Mappings of terminal continua
title_full Mappings of terminal continua
title_fullStr Mappings of terminal continua
title_full_unstemmed Mappings of terminal continua
title_short Mappings of terminal continua
title_sort mappings of terminal continua
url http://dx.doi.org/10.1155/S0161171202011407
work_keys_str_mv AT januszjcharatonik mappingsofterminalcontinua