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Lattices of zero-sets

Part of: Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

S. Broverman
S. Broverman
Affiliation:
Department of Mathematics University of TorontoOntario M5S 1A1Canada
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Abstract

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Characterizations are obtained of those lattices that are isomorphic to the lattice of zero-sets of the following types of Tychonoff spaces: (i) compact (Hausdorff), (ii) Lindelöf, (iii) realcompact and normal, (iv) realcompact.

MSC classification

Secondary: 54H99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 2 , March 1978 , pp. 189 - 194
Copyright
Copyright © Australian Mathematical Society 1978

References

REFERENCES

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Grätzer, G. (1971), Lattice Theory (Freeman and Co., San Francisco).Google Scholar
Speed, T. P. (1973), “On rings of sets II. Zero-sets”, J. Austral. Math. Soc. 18, 185–199.CrossRefGoogle Scholar
Walker, R. C. (1974), The Stone-Čech Compactification (Springer-Verlag, New York).CrossRefGoogle Scholar