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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| Main Author: | |
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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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| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |