Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Metric Completness and Completness in sense of Lattices   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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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom