## Annals of Mathematics |

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arbitrary assume B*-algebra Banach space boundary bounded Bp-algebra Brouwerian algebra Brouwerian-algebraic function canonical cap-class closed sets closure algebra closure relation cocycle complete system completely continuous completes the proof condition congruence consider contains converges convex Corollary corresponding crossnorm defined definition denote differential dimension direct sum domain element equal equations equicontinuous equivalent exists finite number fixed following theorem formula given Gruppen Hence Hermitian Hilbert space homomorphism homotopy homotopy groups identity implies inequality integral invariant isomorphic Lemma linear transformation locally compact manifold mapping C(s Math matrix maximal group mod px modular modulo neighborhood non-linkable norm obtain open set operator original point orthogonal projection proper image point prove R-functions relatively regular replaced representation respectively result satisfies sequence simplex special vector sphere subset subspace Suppose Theorem tion topological space topology vanishes zero