On Alexandrov lattices
By an Alexandrov lattice we mean a δ normal lattice of subsets of an abstract set X, such that the set of ℒ-regular countably additive bounded measures is sequentially closed in the set of ℒ-regular finitely additive bounded measures on the algebra generated by ℒ with the weak topology.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000055 |
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| _version_ | 1849404009045032960 |
|---|---|
| author | Albert Gorelishvili |
| author_facet | Albert Gorelishvili |
| author_sort | Albert Gorelishvili |
| collection | DOAJ |
| description | By an Alexandrov lattice we mean a δ normal lattice of subsets of an abstract set X,
such that the set of ℒ-regular countably additive bounded measures is sequentially closed in the set
of ℒ-regular finitely additive bounded measures on the algebra generated by ℒ
with the weak
topology. |
| format | Article |
| id | doaj-art-91dbb4dcf5b1428f91d356aa1611f519 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-91dbb4dcf5b1428f91d356aa1611f5192025-08-20T03:37:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-01161495910.1155/S0161171293000055On Alexandrov latticesAlbert Gorelishvili0Department of Mathematics, New York Institute of Technology, Old Westbury 11568, New York, USABy an Alexandrov lattice we mean a δ normal lattice of subsets of an abstract set X, such that the set of ℒ-regular countably additive bounded measures is sequentially closed in the set of ℒ-regular finitely additive bounded measures on the algebra generated by ℒ with the weak topology.http://dx.doi.org/10.1155/S0161171293000055latticestopological measuresWallman topology. |
| spellingShingle | Albert Gorelishvili On Alexandrov lattices International Journal of Mathematics and Mathematical Sciences lattices topological measures Wallman topology. |
| title | On Alexandrov lattices |
| title_full | On Alexandrov lattices |
| title_fullStr | On Alexandrov lattices |
| title_full_unstemmed | On Alexandrov lattices |
| title_short | On Alexandrov lattices |
| title_sort | on alexandrov lattices |
| topic | lattices topological measures Wallman topology. |
| url | http://dx.doi.org/10.1155/S0161171293000055 |
| work_keys_str_mv | AT albertgorelishvili onalexandrovlattices |