• 제목/요약/키워드: Hopfian manifold

검색결과 11건 처리시간 0.013초

MANIFOLDS WITH TRIVIAL HOMOLOGY GROUPS IN SOME RANGE AS CODIMENSION-K FIBRATORS

  • Im, Young-Ho
    • 대한수학회논문집
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    • 제25권2호
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    • pp.283-289
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    • 2010
  • Approximate fibrations provide a useful class of maps. Fibrators give instant detection of maps in this class, and PL fibrators do the same in the PL category. We show that rational homology spheres with some additional conditions are codimension-k PL fibrators and PL manifolds with trivial homology groups in some range can be codimension-k (k > 2) PL fibrators.