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CONNECTIVE K-THEORETIC EULER CLASSES AND NON-IMMERSIONS OF 2k-LENS SPACES
Published online by Cambridge University Press: 19 March 2001
Abstract
The paper studies the connective complex K-theoretic Euler class of a certain bundle associated to a Euclidean immersion of the lens space L(2k)2n+1> to show that this manifold cannot be immersed in ℝ4n−2α(n) if k [ges ] α(n). The non-immersion is best possible in many cases. This suggests a close relationship between the immersion problem for complex projective spaces and that for ‘high’ 2-torsion lens spaces.
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- Research Article
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- The London Mathematical Society 2001
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