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Tolerance Spaces Revisited I: Almost Solutions

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Abstract

The paper gives a brief review of tolerance space theory and develops its applications to finding almost solutions (i.e., functions that, substituted into the given equation, satisfy it up to a small numerical error) for equations of different types, providing existence theorems (proved by homological methods) of almost solutions for a wide variety of equations.

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References

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Authors and Affiliations

  1. Independent University of Moscow, Moscow, 119002, Russia

    A. B. Sossinsky

Authors
  1. A. B. Sossinsky
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Correspondence to A. B. Sossinsky.

Additional information

The article was submitted by the author for the English version of the journal.

That article was first written (in Russian) in 1974 but published (illegally from the point of view of Soviet regulations) only in 1986 in English in Acta Applicandae Mathematicae. In recent years, it has been cited in a large number of papers; however, in none of them were any of its stated or potential applications worked out, and this is what motivated me to undertake the present project.

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Sossinsky, A.B. Tolerance Spaces Revisited I: Almost Solutions. Math Notes 106, 439–445 (2019). https://doi.org/10.1134/S000143461909013X

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  • DOI: https://doi.org/10.1134/S000143461909013X

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