• 제목/요약/키워드: Rationally elliptic space

검색결과 2건 처리시간 0.014초

WHEN IS THE CLASSIFYING SPACE FOR ELLIPTIC FIBRATIONS RANK ONE?

  • YAMAGUCHI TOSHIHIRO
    • 대한수학회보
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    • 제42권3호
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    • pp.521-525
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    • 2005
  • We give a necessary and sufficient condition of a rationally elliptic space X such that the Dold-Lashof classifying space Baut1X for fibrations with the fiber X is rank one. It is only when X has the rational homotopy type of a sphere or the total space of a spherical fibration over a product of spheres.