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Currently displaying 1 – 2 of 2

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Un groupoïde simplicial comme modèle de l'espace des chemins

Clemens Berger — 1995

Bulletin de la Société Mathématique de France

Opérades cellulaires et espaces de lacets itérés

Clemens Berger — 1996

Annales de l'institut Fourier

L’espace des configurations de $p$ points distincts de $R^{\infty}$ admet une filtration naturelle qui est induite par les inclusions des $R^{n}$ dans $R^{\infty}$ . Nous caractérisons le type d’homotopie de cette filtration par les propriétés combinatoires d’une structure cellulaire sous-jacente, étroitement liée à la théorie des $E_{n}$ -opérades de May. Cela donne une approche unifiée des différents modèles combinatoires d’espaces de lacets itérés et redémontre les théorèmes d’approximation de Milgram, Smith et Kashiwabara.

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