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arXiv · 1311.2385

On approximation schemes and compactness

A. G. Aksoy·J. M. Almira
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Abstract

We present an overview of some results about characterization of compactness in which the concept of approximation scheme has had a role. In particular, we present several results that were proved by the second author, jointly with Luther, a decade ago, when these authors were working on a very general theory of approximation spaces. We then introduce and show the basic properties of a new concept of compactness, which was studied by the first author in the eighties, by using a generalized concept of approximation scheme and its associated Kolmogorov numbers, which generalizes the classical concept of compactness.

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A. G. Aksoy, J. M. Almira. 2013-11-11. On approximation schemes and compactness. https://arxiv.org/abs/1311.2385

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