Increasing semicontinuous functions and compact topological lattices (Q1093947)
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scientific article; zbMATH DE number 4024286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Increasing semicontinuous functions and compact topological lattices |
scientific article; zbMATH DE number 4024286 |
Statements
Increasing semicontinuous functions and compact topological lattices (English)
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1986
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We characterize those topological lattices X for whch there exists an order preserving homeomorphism from X into a compact lattice in terms of the ability to approximate bounded increasing semicontinuous functions on the space by continuous increasing ones. We must, however, require that the topology of the space be locally convex.
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