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Almost Polar-Dense Lattices

Published online by Cambridge University Press:  20 November 2018

R. H. Redfield
R. H. Redfield*
Affiliation:
Simon Fraser University, Burnaby, British Columbia
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Abstract

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We introduce almost polar-dense lattices and prove that the generalized interval topology of an almost polar-dense, modular lattice is equivalent to its interval topology. Furthermore, for totally ordered sets, the converse holds: if the generalized interval topology is the interval topology, then the set is almost polar-dense.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 2 , June 1975 , pp. 255 - 261
Copyright
Copyright © Canadian Mathematical Society 1975

References

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