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On Infinite Series of Sets

Published online by Cambridge University Press:  18 May 2009

David Ellis
David Ellis
Affiliation:
Department of Mathematics, University of Florida
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We continue our studies (2, 3, 4, 5) of the algebraic, geometric, and analytical similarities and contrasts between Boolean algebras and the real field. In this note we contrast the convergence of series in set algebras with that in the real field.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 2 , Issue 2 , October 1954 , pp. 89 - 92
Copyright
Copyright © Glasgow Mathematical Journal Trust 1954

References

REFERENCES

(1)Birkhoff, Garrett, Lattice Theory (Revised Edition), American Mathematical Society, New York, 1948.Google Scholar
(2)Ellis, David, ’Autometrized Boolean Algebras,“ I and II, Canadian Jour, of Math., vol. 3 (1951), pp. 87–93 and 145–147.CrossRefGoogle Scholar
(3)Ellis, David, Notes on Abstract Distance Geometry, III, Simon Stevin, vol. 29 (1952), pp. 92–95.Google Scholar
(4)Ellis, David, ’Remarks on Boolean functions.’ To appear in Jour. of the Math. Soc. of Japan.Google Scholar
(5)Ellis, David and Sprinkle, H. D., Topology in B-metric spaces. In preparation.Google Scholar
(6)Kantorovitch, L. V., ’Lineare halbgeordnete Räume,“ Mat. Sbornik, vol. 44 (1937), pp. 121–165.Google Scholar
(7)Vaidyanathaswamy, R., Treatise on Set Topology, I, Indian Math. Soc, Madras, 1947.Google Scholar