F-supercontinuous functions
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| dc.contributor.author | Kohli, J.K.
|
es_ES |
| dc.contributor.author | Singh, D.
|
es_ES |
| dc.contributor.author | Aggarwal, Jeetendra
|
es_ES |
| dc.date.accessioned | 2017-09-06T11:49:12Z | |
| dc.date.available | 2017-09-06T11:49:12Z | |
| dc.date.issued | 2009-04-01 | |
| dc.identifier.issn | 1576-9402 | |
| dc.identifier.uri | http://hdl.handle.net/10251/86551 | |
| dc.description.abstract | [EN] A strong variant of continuity called ‘F-supercontinuity’ is introduced. The class of F-supercontinuous functions strictly contains the class of z-supercontinuous functions (Indian J. Pure Appl. Math. 33 (7) (2002), 1097–1108) which in turn properly contains the class of cl-supercontinuous functions ( clopen maps) (Appl. Gen. Topology 8 (2) (2007), 293–300; Indian J. Pure Appl. Math. 14 (6) (1983), 762–772). Further, the class of F-supercontinuous functions is properly contained in the class of R-supercontinuous functions which in turn is strictly contained in the class of continuous functions. Basic properties of F-supercontinuous functions are studied and their place in the hierarchy of strong variants of continuity, which already exist in the mathematical literature, is elaborated. If either domain or range is a functionally regular space (Indagationes Math. 15 (1951), 359–368; 38 (1976), 281–288), then the notions of continuity, F-supercontinuity and R-supercontinuity coincide. | es_ES |
| dc.description.sponsorship | This research was partially supported by University Grants Commission, 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 | z-supercontinuous function | es_ES |
| dc.subject | F-supercontinuous function | es_ES |
| dc.subject | Functionally regular space | es_ES |
| dc.subject | Functionally Hausdorff space | es_ES |
| dc.subject | F-completely regular space | es_ES |
| dc.subject | F-quotient topology | es_ES |
| dc.title | F-supercontinuous functions | es_ES |
| dc.type | Artículo | es_ES |
| dc.date.updated | 2017-09-06T11:22:55Z | |
| dc.identifier.doi | 10.4995/agt.2009.1788 | |
| dc.rights.accessRights | Abierto | es_ES |
| dc.description.bibliographicCitation | Kohli, J.; Singh, D.; Aggarwal, J. (2009). F-supercontinuous functions. Applied General Topology. 10(1):69-83. https://doi.org/10.4995/agt.2009.1788 | es_ES |
| dc.description.accrualMethod | SWORD | es_ES |
| dc.relation.publisherversion | https://doi.org/10.4995/agt.2009.1788 | es_ES |
| dc.description.upvformatpinicio | 69 | es_ES |
| dc.description.upvformatpfin | 83 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 10 | |
| dc.description.issue | 1 | |
| dc.identifier.eissn | 1989-4147 | |
| dc.contributor.funder | University Grants Commission, India |
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