Order structures and topological structures
DeMarr, R. E.
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Displaying similar documents to “Local convexity in topological lattices”
Order structures and topological structures
A topological representation of polarity lattices.
Hartung, G., Kamara, M., Săcărea, C. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Simultaneous lattice and topological completion of topological posets
John Boris Miller (1975)
Compositio Mathematica
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Topological properties of generalized Wallman spaces and lattice relations.
Allan, James A. (1996)
International Journal of Mathematics and Mathematical Sciences
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The lattice of pseudotopologies on S
Carstens, Allan M. (1973)
Portugaliae mathematica
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Sublattices of topologically represented lattices.
Hartung, G. (1995)
Acta Mathematica Universitatis Comenianae. New Series
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Locally solid topological lattice-ordered groups
Liang Hong (2015)
Archivum Mathematicum
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Locally solid Riesz spaces have been widely investigated in the past several decades; but locally solid topological lattice-ordered groups seem to be largely unexplored. The paper is an attempt to initiate a relatively systematic study of locally solid topological lattice-ordered groups. We give both Roberts-Namioka-type characterization and Fremlin-type characterization of locally solid topological lattice-ordered groups. In particular, we show that a group topology on a lattice-ordered...
Metrizable completely distributive lattices
Zhang De-Xue (1997)
Commentationes Mathematicae Universitatis Carolinae
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The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements.