C. Berger claimed to have constructed an -operad-structure on the permutohedras, whose associated monad is exactly the Milgram model for the free loop spaces. In this paper I will show that this statement is not correct.
C. Berger affirme avoir construit une structure de -opérade sur les permutoèdres de Milgram, dont la monade associée est exactement le modèle de Milgram pour les espaces libres de lacets itérés. Dans ce travail je montre que cet énoncé n’est pas correct.
@article{AIF_1999__49_5_1427_0, author = {Brinkmeier, Michael}, title = {The {Milgram} non-operad}, journal = {Annales de l'Institut Fourier}, pages = {1427--1438}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {49}, number = {5}, year = {1999}, doi = {10.5802/aif.1724}, zbl = {0928.55009}, mrnumber = {2001k:55029}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1724/} }
TY - JOUR AU - Brinkmeier, Michael TI - The Milgram non-operad JO - Annales de l'Institut Fourier PY - 1999 SP - 1427 EP - 1438 VL - 49 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1724/ DO - 10.5802/aif.1724 LA - en ID - AIF_1999__49_5_1427_0 ER -
Brinkmeier, Michael. The Milgram non-operad. Annales de l'Institut Fourier, Volume 49 (1999) no. 5, pp. 1427-1438. doi : 10.5802/aif.1724. https://aif.centre-mersenne.org/articles/10.5802/aif.1724/
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