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C. Dowker (1952)
HOMOLOGY GROUPS OF RELATIONSAnnals of Mathematics, 56
M. Hazewinkel, M. Vel (1978)
On Almost-Fixed-Point TheoryCanadian Journal of Mathematics, 30
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Foundations of Algebraic Topology
E. Zeeman (1965)
Topology of the brain
P. Hilton, S. Wylie (1960)
Homology Theory: An Introduction to Algebraic Topology
(1960)
Homology Theory: HOMOLOGY THEORY OF POLYHEDRA
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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).
Acta Applicandae Mathematicae – Springer Journals
Published: May 1, 2004
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