How to deal with the ring of (continuous) real functions in terms of scales

@inproceedings{Gutierrez2010HowTD,
  title={How to deal with the ring of (continuous) real functions in terms of scales},
  author={Javier Gutierrez and Jorge Picado},
  year={2010}
}
There are different approaches in the literature to the study of (continuous) real functions in terms of scales. Our first purpose with this survey-type paper is to provide motivation for the study of scales as a kind of generalization of the notion of Dedekind cut. Secondly, we make explicit the well-known relationship between real functions and scales and we show how one can deal with the algebraic and lattice operations of the ring of real functions purely in terms of scales. Finally we… CONTINUE READING

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