Rational Extensions of C(X) via Hausdorff Continuous Functions

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dc.creatorAnguelov, Roumen
dc.date2007-12-04
dc.date.accessioned2026-07-07T08:47:13Z
dc.date.available2026-07-07T08:47:13Z
dc.descriptionThe ring operations and the metric on $C(X)$ are extended to the set $\mathbb{H}_{nf}(X)$ of all nearly finite Hausdorff continuous interval valued functions and it is shown that $\mathbb{H}_{nf}(X)$ is both rationally and topologically complete. Hence, the rings of quotients of $C(X)$ as well as their metric completions are represented as rings of Hausdorff continuous functions.
dc.identifierhttps://arxiv.org/abs/0712.0507
dc.identifierhttp://arxiv.org/abs/0712.0507
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143520
dc.subjectRings and Algebras
dc.subjectClassical Analysis and ODEs
dc.subject54C30; 54C40; 13B02; 26E25
dc.titleRational Extensions of C(X) via Hausdorff Continuous Functions
dc.typetext

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