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1 results

  • Rational Classification of Simple Function Space Components for Flag Manifolds

  • Samuel Bruce Smith
  • Journal:
    Canadian Journal of Mathematics / Volume 49 / Issue 4 / 01 August 1997
    Published online by Cambridge University Press:
    20 November 2018, pp. 855-864
    Print publication:
    01 August 1997
    • Article
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  • LetM(X, Y) denote the space of all continuous functions between X and Y and Mƒ(X, Y) the path component corresponding to a given map ƒ : X → Y. When X and Y are classical flag manifolds, we prove the components of M(X, Y) corresponding to “simple” maps ƒ are classified up to rational homotopy type by the dimension of the kernel of ƒ in degree two cohomology. In fact, these components are themselves all products of flag manifolds and odd spheres.