Original Research

A generalization of local connectedness in Topology

H. J. K. Ohlhoff, A. Verwey
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 1, No 4 | a1163 | DOI: https://doi.org/10.4102/satnt.v1i4.1163 | © 1982 H. J. K. Ohlhoff, A. Verwey | This work is licensed under CC Attribution 4.0
Submitted: 25 March 1982 | Published: 25 March 1982

About the author(s)

H. J. K. Ohlhoff,, South Africa
A. Verwey,, South Africa

Full Text:

PDF (174KB)

Share this article

Bookmark and Share


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.


No related keywords in the metadata.


Total abstract views: 1044
Total article views: 1127

Reader Comments

Before posting a comment, read our privacy policy.

Post a comment (login required)

Crossref Citations

No related citations found.