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Homological category weights and estimates for cat1(X,ξ)
Journal of the European Mathematical Society (Print)
In this paper we study a new notion of category weight of homology classes developing further the ideas of E. Fadell and S. Husseini  . In the case of closed smooth manifolds the homological category weight is equivalent to the cohomological category weight of E. Fadell and S. Husseini but these two notions are distinct already for Poincaré complexes. An important advantage of the homological category weight is its homotopy invariance. We use the notion of homological category weight todoi:10.4171/jems/110 fatcat:uarqlez3mzfqvhicluv4oleslu