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A note on pre-interior operators

Published online by Cambridge University Press:  09 April 2009

Teng-Sun Liu
Teng-Sun Liu
Affiliation:
Univesity of Pennsylvania, and University of Massachusetts
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Let X be an non-empty set and denote by PX the set algebra consisting of all sunsets of X. An operator i: PX → PX is said to be Pre-interior if (i) iX = X; (ii) i(A∩B) = iA ∩ iB for all A, B in PX.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 5 , Issue 4 , November 1965 , pp. 491 - 494
Copyright
Copyright © Australian Mathematical Society 1965

References

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