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Cohomological estimates for cat(<i>X,ξ</i>)

Cohomological estimates for cat(<i>X,ξ</i>)

This paper studies the homotopy invariant cat.X; / introduced by the first author in [6].Given a finite cell-complex X , we study the function 7 !cat.X; / where varies in the cohomology space H 1 .X I ‫./ޒ‬Note that cat.X; / turns into the classical Lusternik-Schnirelmann category cat.X / in …