Abstract
We define an algebraic approximation of the Lusternik-Schnirelmann category of a map and show that this invariant lies between A-category and M-category. We derive from this result a characterization of the Lusternik-Schnirelmann category of a rational space.
Citation
Thomas Kahl. "Note on L.-S. category and DGA modules." Bull. Belg. Math. Soc. Simon Stevin 13 (4) 703 - 717, December 2006. https://doi.org/10.36045/bbms/1168957346
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