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abelian algebras arbitrary assume assumptions automorphisms Banach spaces brick partitions bundle cardinality closed subset compact attraction construction contact structure Continuous mappings convergence convex set Corollary countable decomposition defined definition denote differential equations differential games disjoint distribution elements exists finite fixed point index formula function Hence Hilbert Hilbert manifold holomorphic holonomy holonomy group homeomorphism homotopy ideal implies indefinite games induced inequality integrable invariant extension invariant measure isomorphism Ka'hlerian manifold Lemma Let us fix linear Math Mathematical Menger curve metric polynomial structure minimal projections multivalued maps neighbourhood non-locally-separating nonempty obtain open set orbit Peano continuum player positive numbers problem product structure proof of Theorem properties Proposition prove random Riemannian metric sectional curvature sequence smooth Sniadeckich strategy subcontinuum subgroup submanifold subspace supp tensor field Theorem theory topological space trajectories uniformly locally connected vector fields WARSZAWA Pologne