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The lattice theoretic part of topological separation properties

Published online by Cambridge University Press:  20 January 2009

H. Simmons
Affiliation:
University of Aberdeen
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In this paper we show that for each n∈{2,3,4,5,} the topological separationproperty Tn can be decomposed

where C, N2,…,Nn are purely lattice theoretic properties with the expected im-plications holding between them.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1978

References

REFERENCES

(1) Davis, A. S., Indexed systems of neighborhoods for general topological spaces, Amer. Math. Monthly 68 (1961), 886893.CrossRefGoogle Scholar
(2) Dowker, C. H. and Strauss, Dona Papert, Separation axioms for frames, Topics in Topology, Ed. by Á. Császár (North Holland, 1972), 223240.Google Scholar
(3) Macnab, D. S. and Simmons, H., Conjunctive topological spaces.Google Scholar