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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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2565 |
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| _version_ | 1832548040588656640 |
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| author | Carmen D. Vlad |
| author_facet | Carmen D. Vlad |
| author_sort | Carmen D. Vlad |
| collection | DOAJ |
| description | 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 L1⊂L2 of subsets of X. |
| format | Article |
| id | doaj-art-2a385789d2f84c3da6de1c35254e1185 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2a385789d2f84c3da6de1c35254e11852025-02-03T06:42:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005162565257310.1155/IJMMS.2005.2565On compactness of latticesCarmen D. Vlad0Department of Mathematics, Pace University, Pleasantville 10570, NY, USALet 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 L1⊂L2 of subsets of X.http://dx.doi.org/10.1155/IJMMS.2005.2565 |
| spellingShingle | Carmen D. Vlad On compactness of lattices International Journal of Mathematics and Mathematical Sciences |
| title | On compactness of lattices |
| title_full | On compactness of lattices |
| title_fullStr | On compactness of lattices |
| title_full_unstemmed | On compactness of lattices |
| title_short | On compactness of lattices |
| title_sort | on compactness of lattices |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2565 |
| work_keys_str_mv | AT carmendvlad oncompactnessoflattices |