• Title/Summary/Keyword: condimension-k PL fibrator

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PRODUCTS OF MANIFOLDS AS CONDIMENSION k FINBRATORS

  • Im, Young-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.79-90
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    • 1999
  • In this paper, we show that any product of a closed orientable n-manifold $N_1$ with finite fundamental group and a closed orientable asgerical m-mainfold $N_2$ with hopfian fundamental group, where X($N_1$) and X($N_2$) are nonzero, is a condimension 2 fibrator. Moreover, if <$\pi_i(N_1)$=0 for 1$N_1\timesN_2$ is a codimension k PL fibrator.

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PRODUCT OF PL FIBRATORS AS CODIMENSION-k FIBRATORS

  • Im, Young-Ho;Kim, Yong-Kuk
    • Communications of the Korean Mathematical Society
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    • v.22 no.2
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    • pp.289-295
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    • 2007
  • We describe some conditions under which the product of two groups with certain property is a group with the same property, and we describe some conditions under which the product of hopfian manifolds is another hopfian manifold. As applications, we find some PL fibrators among the product of fibrators.