Article contents
Almost locally connected spaces
Published online by Cambridge University Press: 09 April 2009
Abstract
This paper introduces the concept of an almost locally connected space. Every locally connected space is almost locally connected, and the concepts are equivalent in the class of semi-regular spaces. Almost local connectedness is hereditary for regular open subspaces, is preserved by continuous open maps, but not generally by quotient maps. It is productive in the presence of almost-regularity.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 31 , Issue 4 , December 1981 , pp. 421 - 428
- Copyright
- Copyright © Australian Mathematical Society 1981
References
- 5
- Cited by