A generalization of local connectedness in Topology
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie/South African Journal of Science and Technology
| Field | Value | |
| Title | A generalization of local connectedness in Topology ’n Veralgemening van lokaal samehangendheid in die Topologie | |
| Creator | Ohlhoff, H. J. K. Verwey, A. | |
| Description | Our aim in this paper is to obtain an acceptable generalization of the concept of locally connected spaces in Topology. This is done by utilizing the concept of E-connected spaces which was introduced by Preuss. Locally E-connected spaces are defined and results on locally connected spaces are generalized. In particular, it is shown that the class of all locally E-connected spaces determines a bicoreflective subcategory of Top. From the many examples that are available, we concentrate on those arising from the separation axioms. Die doel van hierdie artikel is om ’n aanvaarbare veralgemening van lokaal samehangendheid in die Topologie te gee. Dit word gedoen deur mci behulp van die begrip “E-samehangende ruimte” (kyk Preuss), lokaal E-samehangende ruimtes te definieer. Bekende resultate oor lokaal samehangende ruimtes word veralgemeen en in die besonder word aangetoon dat die klas van alle lokaal E-samehangende ruimtes ’n bikoreflektiewe onderkategorie van Top vorm. ’n Verskeidenheid voorbeelde is beskikbaar, maar daar word veral aandag gegee aan lokaal E-samehangende ruimtes teen die agtergrond van die skeidingsaksiomas. | |
| Publisher | AOSIS | |
| Date | 1982-03-25 | |
| Identifier | 10.4102/satnt.v1i4.1163 | |
| Source | Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 1, No 4 (1982); 191-194 Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 1, No 4 (1982); 191-194 2222-4173 0254-3486 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://journals.satnt.aosis.co.za/index.php/satnt/article/view/1163/2372
|
|
ADVERTISEMENT
