## Houston Journal of Mathematics, Volume 3 |

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abelian abelian groups algebra Amer assume automorphism Banach lattice Banach space cc(X closed commutative compact space completes the proof component condition connected construction contains continuous function continuous lattice continuum converges convex COROLLARY countable dense subsets curve cusps decomposition defined denote disjoint distributive lattice dyadic element embedding En/G equivalent example exists follows frame map genus Hausdorff Hence homeomorphic homogeneous homotopy Hopf Houston ideal idempotent implies indecomposable induced injective interior algebras irreducible isomorphic Klein surface Lawson topology Lemma locally compact manifold map f Math metric space module neighborhood nonexpansive norm normal obtain open sets orientable paracompact permutation prime proof of Theorem Proposition prove pseudo-arcs quotient result ring satisfies Section semigroup sequence shape-docile solenoid subgroup sublattice subspace Suppose T-cotorsion T-free Theorem theory topological space topology torsion University of Houston vector