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On Lattices of Uniformities

โœ Scribed by Hans Weber


Book ID
106489626
Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
628 KB
Volume
24
Category
Article
ISSN
0167-8094

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Dense Packing on Uniform Lattices
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Two concepts simplifying the inner structure of uniform spaces are examined, namely Ginsburg-Isbell concept of local fineness and that of functional lI>cal fm~~nessdue: to Z. FroKk (for definitions see below). It is shown that these two concepts are c:quivalent. Some information on Gir.?burg-Isbell

Complemented uniform lattices
โœ Hans Weber ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

It is proved that the completion of a complemented modular lattice with respect to a Hausdorff lattice uniformity which is metrizable or exhaustive is a complemented modular lattice. It is then shown that a complete complemented modular lattice endowed with a Hausdorff order continuous lattice unifo