Rational Extensions of C(X) via Hausdorff Continuous Functions
Rings and Algebras
2007-12-05 v1 Classical Analysis and ODEs
Abstract
The ring operations and the metric on are extended to the set of all nearly finite Hausdorff continuous interval valued functions and it is shown that is both rationally and topologically complete. Hence, the rings of quotients of as well as their metric completions are represented as rings of Hausdorff continuous functions.
Cite
@article{arxiv.0712.0507,
title = {Rational Extensions of C(X) via Hausdorff Continuous Functions},
author = {Roumen Anguelov},
journal= {arXiv preprint arXiv:0712.0507},
year = {2007}
}