Compact Lie groups of differentiable transformations, Finite Sheaf C0homology Dimension, Conner Conjecture, Equivariant Mapping, Localization Theory For Equivariant Cohomology, Article, Čech types, 510.mathematics, Homology and cohomology of homogeneous spaces of Lie groups, Homology with local coefficients, equivariant cohomology, Cech Cohomology, Spheres of Floyd-Hsiang, Compact Lie Group, Groups acting on specific manifolds