A characterization of frontier
Published online by Cambridge University Press: 24 October 2008
Extract
Let X be a set and let f be a mapping of P(X), the set of all subsets of X, into P(X). Conditions are given which are necessary and sufficient for there to exist a topology on the set X with respect to which, for all S ∈ P(X), the frontier of S is fS.
- Type
- Research Notes
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 52 , Issue 1 , January 1956 , pp. 152 - 153
- Copyright
- Copyright © Cambridge Philosophical Society 1956
References
* It is not difficult to show that no four of the properties I–V entails the remaining property.
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