Malcev completions, LS category, and depth

Félix, Yves;Halperin, Steve
(2017) Boletín de la Sociedad Matemática Mexicana — Vol. 23, n° 1, p. 267-288 (2016)

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  • Félix, YvesUCLouvain
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  • Halperin, Steve
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Abstract
Let X be a connected topological spaces with finite rational Betti numbers. We denote by G the radical of its fundamental group and by (∧V,d) its minimal Sullivan model. If dim Vi<∞ for each i≥2 , then the dimension of the rationalization of G is less than or equal to the Lusternik-Schnirelmann category of X.
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Félix, Y., & Halperin, S. (2017). Malcev completions, LS category, and depth. Boletín de la Sociedad Matemática Mexicana, 23(1), 267-288. https://doi.org/10.1007/s40590-016-0097-7 (Original work published 2016)