A Cohomological Lower Bound for the Transverse Ls Category of a Foliated Manifold
نویسنده
چکیده
Let F be a compact Hausdorff foliation on a compact manifold. Let E 2 = ⊕{E 2 : p > 0, q ≥ 0} be the subalgebra of cohomology classes with positive transverse degree in the E2 term of the spectral sequence of the foliation. We prove that the saturated transverse Lusternik-Schnirelmann category of F is bounded below by the length of the cup product in E 2 . Other cohomological bounds are discussed.
منابع مشابه
Transverse Lusternik{Schnirelmann category of foliated manifolds
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