Topological (\prod^ω\ell_2, \sum^ω\ell_2)-factors of diffeomorphism groups of non-compact manifolds

Tatsuhiko Yagasaki

Suppose M is a non-compact connected smooth n-manifold. Let D(M) denote the group of diffeomorphisms of M endowed with the compact-open C^\infty-topology and D^c(M) denote the subg…