Geodesic
Almost Polar-Dense Lattices
Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 255-261

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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. 
Redfield, R. H. Almost Polar-Dense Lattices. Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 255-261. doi: 10.4153/CMB-1975-049-x
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     title = {Almost {Polar-Dense} {Lattices}},
     journal = {Canadian mathematical bulletin},
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     year = {1975},
     volume = {18},
     number = {2},
     doi = {10.4153/CMB-1975-049-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-049-x/}
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