T-homotopy and refinement of observation (I) : Introduction
classification
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math.CT
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t-homotopyintroductionobservationrefinementbehaviourconstructiondihomotopydiscussed
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This paper is the extended introduction of a serie of papers about modelling T-homotopy by refinement of observation. The notion of T-homotopy equivalence is discussed. A new one is proposed and its behaviour with respect to other construction in dihomotopy theory is explained.
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