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Définition intrinsèque de la notion de chemin

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En cinématique nous considérons des mouvements, c’est-é-dire des transformations continues d’intervalles en sous-ensembles d’espaces distanciés et complets. En topologie, depuis Jordan, nous éludions des trajectoires des mouvements, c’est-é-dire les ensembles des positions d’un mobile. Une idée intermédiaire, résultant d’une abstraction partielle du facteur temporel, est la notion de chemin.

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© 2003 Springer-Verlag Wien

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Menger, M.K., Cartan, M.É. (2003). Définition intrinsèque de la notion de chemin. In: Schweizer, B., et al. Selecta Mathematica. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6045-9_13

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  • DOI: https://doi.org/10.1007/978-3-7091-6045-9_13

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