Geodesic
Some Characterizations of Dedekind α-Completeness of a Riesz Space
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 3-7

Voir la notice de l'article provenant de la source Cambridge University Press

A vector lattice F is said to be Dedekind α-complete, where α is a cardinal number, provided that each non-empty order bounded subset D of F satisfying card(D) ≤ α has a supremum. Several characterizations of this property are presented here.
DOI : 10.4153/CMB-1993-001-3
Mots-clés : 47B55, 46A40 
Abramovich, Y. A. Some Characterizations of Dedekind α-Completeness of a Riesz Space. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 3-7. doi: 10.4153/CMB-1993-001-3
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