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A characterization of frontier

Published online by Cambridge University Press:  24 October 2008

K. A. H. Gravett
Affiliation:
Balliol CollegeOxford

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 SP(X), the frontier of S is fS.

Type
Research Notes
Copyright
Copyright © Cambridge Philosophical Society 1956

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References

* It is not difficult to show that no four of the properties I–V entails the remaining property.