Mathematics – Functional Analysis
Scientific paper
2003-12-22
Mathematics
Functional Analysis
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Scientific paper
We give an answer to the following question: for which metric in an abstract
lattice the completion as a metric space coincides with the completion as a
lattice. We obtain the answer for inductive limits of lattices which are
complete in both senses. As an application we construct such a metric in the
lattice of continuous functions endowed with the uniform convergence.
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