Acta Applicandae Mathematica

, Volume 5, Issue 2, pp 137–167 | Cite as

Tolerance space theory and some applications

  • A. B. Sossinsky


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).

AMS (MOS) subject classifications (1980)

Primary 55 Secondary 39 94 

Key words

Tolerance space homology homotopy almost-fixed point almost-solution difference scheme multichannel data transmission n-dimensional cube 


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Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • A. B. Sossinsky
    • 1
  1. 1.Redaktsiya (Kvant)MoscowU.S.S.R.

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