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Singularities of a construction of the o-completion of an Archimedean \(\ell\)-group with strong unit. (Russian) Zbl 0631.06008
The paper describes the o-completion (oX) of an Archimedean \(\ell\)-group X of continuous functions on a bicompactum B separating points of B and containing an identity 1. The author describes it on the functions which are continuous on the compact subsets of B. He determines why oX need not be uniform and does not contain the uniform completion EX of the \(\ell\)- group X.
Reviewer: R.Firlová
MSC:
06F15 Ordered groups
06F30 Ordered topological structures
54C35 Function spaces in general topology
54H10 Topological representations of algebraic systems
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