Lusternik-Schnirelmann Category and Algebraic R-Local Homotopy Theory
Canadian journal of mathematics, Tome 50 (1998) no. 4, pp. 845-862

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we define the notion of ${{R}_{*}}\text{-LS}$ category associated to an increasing system of subrings of $\mathbb{Q}$ and we relate it to the usual $\text{LS}$ -category. We also relate it to the invariant introduced by Félix and Lemaire in tame homotopy theory, in which case we give a description in terms of Lie algebras and of cocommutative coalgebras, extending results of Lemaire-Sigrist and Félix-Halperin.
DOI : 10.4153/CJM-1998-045-4
Mots-clés : 55P50, 55P62
Scheerer, H.; Tanré, D. Lusternik-Schnirelmann Category and Algebraic R-Local Homotopy Theory. Canadian journal of mathematics, Tome 50 (1998) no. 4, pp. 845-862. doi: 10.4153/CJM-1998-045-4
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