Between continuity and set connectedness
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| dc.contributor.author | Kohli, J.K.
|
es_ES |
| dc.contributor.author | Singh, D.
|
es_ES |
| dc.contributor.author | Kumar, Rajesh
|
es_ES |
| dc.contributor.author | Aggarwal, Jeetendra
|
es_ES |
| dc.date.accessioned | 2017-09-08T11:41:31Z | |
| dc.date.available | 2017-09-08T11:41:31Z | |
| dc.date.issued | 2010-04-01 | |
| dc.identifier.issn | 1576-9402 | |
| dc.identifier.uri | http://hdl.handle.net/10251/86826 | |
| dc.description.abstract | [EN] Two new weak variants of continuity called 'R-continuity'and 'F-continuity' are introduced. Their basic properties are studied and their place in the hierarchy of weak variants of continuity, that already exist in the literature, is elaborated. The class of R-continuous functions properly contains the class of continuous functions and is strictly contained in each of the three classes of (1) faintly continu-ous functions studied by Long and Herrignton (Kyungpook Math. J.22(1982), 7-14); (2) D-continuous functions introduced by Kohli (Bull.Cal. Math. Soc. 84 (1992), 39-46), and (3) F-continuous functions which in turn are strictly contained in the class of z-continuous functions studied by Singal and Niemse (Math. Student 66 (1997), 193-210).So the class of R-continuous functions is also properly contained in each of the classes of D∗-continuous functions, D-continuous function and set connected functions. | es_ES |
| dc.description.sponsorship | The research of second author was partially supported by University Grants Commission, India. The fourth author gratefully acknowledges JRF fellowship awarded by the Council of Scientific and Industrial Research, India | |
| dc.language | Inglés | es_ES |
| dc.publisher | Universitat Politècnica de València | |
| dc.relation.ispartof | Applied General Topology | |
| dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
| dc.subject | Almost continuous function | es_ES |
| dc.subject | D-continuous function | es_ES |
| dc.subject | z-continuous function | es_ES |
| dc.subject | Quasi θ-continuous function | es_ES |
| dc.subject | Faintly continuous function | es_ES |
| dc.subject | Functionally Hausdorff space | es_ES |
| dc.subject | Zero set | es_ES |
| dc.title | Between continuity and set connectedness | es_ES |
| dc.type | Artículo | es_ES |
| dc.date.updated | 2017-09-08T11:29:42Z | |
| dc.identifier.doi | 10.4995/agt.2010.1727 | |
| dc.rights.accessRights | Abierto | es_ES |
| dc.description.bibliographicCitation | Kohli, J.; Singh, D.; Kumar, R.; Aggarwal, J. (2010). Between continuity and set connectedness. Applied General Topology. 11(1):43-55. https://doi.org/10.4995/agt.2010.1727 | es_ES |
| dc.description.accrualMethod | SWORD | es_ES |
| dc.relation.publisherversion | https://doi.org/10.4995/agt.2010.1727 | es_ES |
| dc.description.upvformatpinicio | 43 | es_ES |
| dc.description.upvformatpfin | 55 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 11 | |
| dc.description.issue | 1 | |
| dc.identifier.eissn | 1989-4147 | |
| dc.contributor.funder | University Grants Commission, India | |
| dc.contributor.funder | Council of Scientific and Industrial Research, India |
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