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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

[1]Halmos, P. R., Measure Throry, Van Nostrand (New York, 1950).CrossRefGoogle Scholar
[2]Kelley, J. L., General Topology Van Nostrand, New York, 1955.Google Scholar
[3]Teng-sun, Liu, A Note on Maximal T1-topologies, Portugal Math. 18 (1959), 235–236.Google Scholar
[4]Teng-sun, Liu, On Vanishing Algebras, Proc. Amer. Math. Soc. 14 (1963), 162–165.Google Scholar
[5]Martin, N. F. G., Generalized Condensation Points, Duke Math. J. 28 (1961), 507–514.Google Scholar