ON COMPACTNESS OF LATTICES
Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-one-valued nontrivial, finitely additive measures on A(L), the algebra generated by L, and we introduce other subsets of I(L). We study compactness/normality properties either relating to a single latt...
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| Veröffentlicht in: | International Journal of Mathematics and Mathematical Sciences 2005-01, Vol.2005 (16), p.2565-2573-205 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-one-valued nontrivial, finitely additive measures on A(L), the algebra generated by L, and we introduce other subsets of I(L). We study compactness/normality properties either relating to a single lattice L or relating to a pair of lattices L1L2 of subsets of X. |
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| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/IJMMS.2005.2565 |