No CrossRef data available.
Article contents
Lusternik-Schnirelmann Category and Algebraic R-Local Homotopy Theory
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1998