Back to Search
Start Over
FRAGMENTABILITY BY THE DISCRETE METRIC
- Source :
- Bulletin of the Australian Mathematical Society. 91:303-310
- Publication Year :
- 2015
- Publisher :
- Cambridge University Press (CUP), 2015.
-
Abstract
- In a recent paper, topological spaces $(X,{\it\tau})$ that are fragmented by a metric that generates the discrete topology were investigated. In the present paper we shall continue this investigation. In particular, we will show, among other things, that such spaces are ${\it\sigma}$-scattered, that is, a countable union of scattered spaces, and characterise the continuous images of separable metrisable spaces by their fragmentability properties.
Details
- ISSN :
- 17551633 and 00049727
- Volume :
- 91
- Database :
- OpenAIRE
- Journal :
- Bulletin of the Australian Mathematical Society
- Accession number :
- edsair.doi...........e85541c1e24ed1693e34bc55a363841c