Manifolds Without Complex Tangents

  • John Wermer
Part of the Graduate Texts in Mathematics book series (GTM, volume 35)


Let X be a compact set in C n which lies on a smooth k-dimensional (real) submanifold ∑ of C n . Assume that X is polynomially convex. Under what conditions on ∑ can we conclude that P(X) = C(X)?


Complex Manifold BANACH Algebra Complex Tangent Polynomially Convex Holomorphic Approximation 
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Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • John Wermer
    • 1
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

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