Article contents
Interior preserving maps
Published online by Cambridge University Press: 17 April 2009
Abstract
It is a curious fact that, while the functions which preserve closures are exactly the closed continuous functions, the interior-preserving functions form a much smaller class than the open continuous functions. In fact, the interior-preserving maps are essentially homeomorphisms, surjections between discrete spaces, and “sums” of these.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1969
References
- 1
- Cited by