The lifting property for classes of mappings
The lifting property of continua for classes of mappings is defined. It is shown that the property is preserved under the inverse limit operation. The results, when applied to the class of confluent mappings, exhibit conditions under which the induced mapping between hyperspaces is confluent. This g...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200002763 |
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| _version_ | 1832548989010968576 |
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| author | Janusz J. Charatonik |
| author_facet | Janusz J. Charatonik |
| author_sort | Janusz J. Charatonik |
| collection | DOAJ |
| description | The lifting property of continua for classes of mappings is
defined. It is shown that the property is preserved under the
inverse limit operation. The results, when applied to the class of
confluent mappings, exhibit conditions under which the induced
mapping between hyperspaces is confluent. This generalizes
previous results in this topic. |
| format | Article |
| id | doaj-art-f2d6703b814543b581eaf790be4f13de |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f2d6703b814543b581eaf790be4f13de2025-02-03T06:12:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231071772210.1155/S0161171200002763The lifting property for classes of mappingsJanusz J. Charatonik0Mathematical Institute, University of Wrocław, pl.Grunwaldzki 2/4, Wrocław 50-384, PolandThe lifting property of continua for classes of mappings is defined. It is shown that the property is preserved under the inverse limit operation. The results, when applied to the class of confluent mappings, exhibit conditions under which the induced mapping between hyperspaces is confluent. This generalizes previous results in this topic.http://dx.doi.org/10.1155/S0161171200002763Arc approximation propertyconfluent mapping continuumhyperspaceinduced mappinginverse limit.. |
| spellingShingle | Janusz J. Charatonik The lifting property for classes of mappings International Journal of Mathematics and Mathematical Sciences Arc approximation property confluent mapping continuum hyperspace induced mapping inverse limit.. |
| title | The lifting property for classes of mappings |
| title_full | The lifting property for classes of mappings |
| title_fullStr | The lifting property for classes of mappings |
| title_full_unstemmed | The lifting property for classes of mappings |
| title_short | The lifting property for classes of mappings |
| title_sort | lifting property for classes of mappings |
| topic | Arc approximation property confluent mapping continuum hyperspace induced mapping inverse limit.. |
| url | http://dx.doi.org/10.1155/S0161171200002763 |
| work_keys_str_mv | AT januszjcharatonik theliftingpropertyforclassesofmappings AT januszjcharatonik liftingpropertyforclassesofmappings |