Abstract
The paper deals with the notion of tolerance space (introduced by E. C. Zeeman, but discerned earlier by H. Poincaré), which formalizes the idea of resemblance. The category of tolerance spaces is described, their homology and homotopy theories developed. Applications include almost-fixed point theorems, almost-solution existence theorems for difference schemes and the three-channel principle (a general theorem on multichannel data transmission).
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Sossinsky, A.B. Tolerance space theory and some applications. Acta Appl Math 5, 137–167 (1986). https://doi.org/10.1007/BF00046585
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DOI: https://doi.org/10.1007/BF00046585