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1 results

  • On Banach-Mazur compacta

  • Part of
  • Sergei M. Ageev, Duŝan Repovŝ
  • Journal:
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics / Volume 69 / Issue 3 / December 2000
    Published online by Cambridge University Press:
    09 April 2009, pp. 316-335
    Print publication:
    December 2000
    • Article
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  • We study Banach-Mazur compacta Q(n), that is, the sets of all isometry classes of n-dimensional Banach spaces topologized by the Banach-Mazur metric. Our main result is that Q(2) is homeomorphic to the compactification of a Hilbert cube manifold by a point, for we prove that Qg(2) = Q(2) / {Eucl.} is a Hilbert cube manifold. As a corollary it follows that Q(2) is not homogeneous.