Geodesic
Metrizable completely distributive lattices
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 1, pp. 137-148

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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.
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.
Classification : 06B30, 06B35, 06D10, 54C08, 54C15, 54C55, 54E35, 54H12
Keywords: completely distributive lattice; interval topology; AR; ANR 
De-Xue, Zhang. Metrizable completely distributive lattices. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 1, pp. 137-148. http://geodesic.mathdoc.fr/item/CMUC_1997_38_1_a11/
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     author = {De-Xue, Zhang},
     title = {Metrizable completely distributive lattices},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {137--148},
     year = {1997},
     volume = {38},
     number = {1},
     mrnumber = {1455477},
     zbl = {0887.06006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_1_a11/}
}
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