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On the Representations of an Abstract Lattice as the Family of Closed Sets of a Topological Space

โœ Scribed by David Drake and W. J. Thron


Book ID
125674191
Publisher
American Mathematical Society
Year
1965
Tongue
English
Weight
455 KB
Volume
120
Category
Article
ISSN
0002-9947

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๐Ÿ“œ SIMILAR VOLUMES


On the uniformity of the closed-set latt
โœ K.M. Koh; K.S. Poh ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 578 KB

Denote by e\*(L) and ~,(L) respectively the upper length and lower length of a finite lattice L. The lattice L is said to be uniform if for each integer k with e,(L) < k < ยข\*(L) there exists in L a maximal chain of length k. It is shown that the closed-set lattice of a finite graph G is uniform if