On the property of Kelley for Hausdorff continua
We introduce the concepts Hausdorff maximal limit continuum and Hausdorff strong maximal limit continuum, for Hausdorff continua; these definitions extend the concepts of maximal limit continuum and strong maximal limit continuum, respectiveley, introduced by J. J. Charatonik and W. J. Charatonik in...
| Main Authors: | , |
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| Format: | Article |
| Language: | Spanish |
| Published: |
Universidad Industrial de Santander
2020-01-01
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| Series: | Revista Integración |
| Subjects: | |
| Online Access: | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/10381 |
| _version_ | 1811296637126967296 |
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| author | Mauricio Chacón-Tirado María de J. López |
| author_facet | Mauricio Chacón-Tirado María de J. López |
| author_sort | Mauricio Chacón-Tirado |
| collection | DOAJ |
| description | We introduce the concepts Hausdorff maximal limit continuum
and Hausdorff strong maximal limit continuum, for Hausdorff continua; these
definitions extend the concepts of maximal limit continuum and strong maximal
limit continuum, respectiveley, introduced by J. J. Charatonik and W.
J. Charatonik in 1998 for metric continua [1, Definitions 2.2 and 2.3]. We
show that in metric continua, being a maximal limit continuum is equivalent
to being a Hausdorff maximal limit continuum. We also show that in metric
continua, being a strong maximal limit continuum implies being a Hausdorff
strong maximal limit continuum. Finally, we show an equivalence of having
the property of Kelley, in terms of these new definitions, whose analog version
for metric continua was given by J. J. Charatonik and W. J. Charatonik. |
| first_indexed | 2024-04-13T05:51:34Z |
| format | Article |
| id | doaj.art-9ab5e9860c774a439e48899d938b1036 |
| institution | Directory Open Access Journal |
| issn | 0120-419X 2145-8472 |
| language | Spanish |
| last_indexed | 2024-04-13T05:51:34Z |
| publishDate | 2020-01-01 |
| publisher | Universidad Industrial de Santander |
| record_format | Article |
| series | Revista Integración |
| spelling | doaj.art-9ab5e9860c774a439e48899d938b10362022-12-22T02:59:46ZspaUniversidad Industrial de SantanderRevista Integración0120-419X2145-84722020-01-01381On the property of Kelley for Hausdorff continuaMauricio Chacón-Tirado0María de J. López1Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico Matemáticas, Puebla, México.Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico Matemáticas, Puebla, México.We introduce the concepts Hausdorff maximal limit continuum and Hausdorff strong maximal limit continuum, for Hausdorff continua; these definitions extend the concepts of maximal limit continuum and strong maximal limit continuum, respectiveley, introduced by J. J. Charatonik and W. J. Charatonik in 1998 for metric continua [1, Definitions 2.2 and 2.3]. We show that in metric continua, being a maximal limit continuum is equivalent to being a Hausdorff maximal limit continuum. We also show that in metric continua, being a strong maximal limit continuum implies being a Hausdorff strong maximal limit continuum. Finally, we show an equivalence of having the property of Kelley, in terms of these new definitions, whose analog version for metric continua was given by J. J. Charatonik and W. J. Charatonik.https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/10381Continuumhyperspacemaximal limit continuumproperty of Kelleystrong maximal limit continuum |
| spellingShingle | Mauricio Chacón-Tirado María de J. López On the property of Kelley for Hausdorff continua Revista Integración Continuum hyperspace maximal limit continuum property of Kelley strong maximal limit continuum |
| title | On the property of Kelley for Hausdorff continua |
| title_full | On the property of Kelley for Hausdorff continua |
| title_fullStr | On the property of Kelley for Hausdorff continua |
| title_full_unstemmed | On the property of Kelley for Hausdorff continua |
| title_short | On the property of Kelley for Hausdorff continua |
| title_sort | on the property of kelley for hausdorff continua |
| topic | Continuum hyperspace maximal limit continuum property of Kelley strong maximal limit continuum |
| url | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/10381 |
| work_keys_str_mv | AT mauriciochacontirado onthepropertyofkelleyforhausdorffcontinua AT mariadejlopez onthepropertyofkelleyforhausdorffcontinua |