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Abelian group Abelian topological groups assume bounded bundle closed cohomology compact spaces complete completely regular space compressible consider contains Corollary countable cycles defined denote dimension disjoint disk double curves dual discs embedded equation equivalent exists FH periodic orbits finite free Abelian topological free topological groups function functor genus g given group G Hamiltonian handlebody hence homeomorphic homology homotopy immersed implies incompressible surfaces indecomposable induced integral intersection invariant inverse isomorphism knot Lemma Lie algebra linear locally compact M-equivalent manifold Matemática Math Mathematics Subject Classification matrix meridionally metrizable spaces Mexicana minimal modules morphism Noetherian ring obtain operator pair paracompact periodic orbits Pestov polynomial problem projective Proof Proposition prove pseudogroup pseudometric result Riemannian metric satisfies second layer condition sequentially Sociedad structure subgroup subset subspace symmetric symplectic Theorem TkaCenko topological group F(X Uspenskii vector field