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Product of PL fibrators as codimension-$k$ fibrators

김용국|임영호
대한수학회 (The Korean Mathematical Society)|2007.04|대한수학회논문집 (Communications of the KMS)|제22권 제2호|pp. 289-295

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주제분류수학

초록

Abstract

We describe some conditionsunder which the product of two groups with certain property is agroup with the same property, and we describe some conditions underwhich the product of hopfian manifolds is another hopfian manifold.As applications, we find some PL fibrators among the product offibrators.

참고문헌 (12)

  1. Pacific J. Math. 72, "Approximate fibrations and a movability condition for maps", pp.41~ (1977)
  2. R.J. Daverman, "PL maps with manifold fibers" (1992)
  3. "Manifolds that induce approximate fibrations inthe PL category", 66, pp.267~297 (1995)
  4. "Codimension 2 nonfibrators with finite fundamentalgroups", 127(3), pp.881~888 (1999)
  5. "Products of Hopfian manifoldsand codimension-2 fibrators", 103(3), pp.323~338 (2000)
  6. "Connected sums of 4-manifolds as codimension-kfibrators", 66(1), pp.206~222 (2003)
  7. "PL fibrator properties of partially aspherical manifolds", 140(2-3), pp.181~195 (2004)
  8. "Subgroups of finite index in free groups"
  9. "Lecture Notes in Pure Appl. Math.", pp.157~166 (1987), Inc.
  10. "Necessary and sufficient conditions fors-hopfian manifolds to be codimension-2 fibrators", 129(7), pp.2135~2140 (2001)
  11. "Manifolds with hyperhopfian fundamental group ascodimension-2 fibrators", 96, pp.241~248 (1999)
  12. "A vanishing theorem for Euler characteristics", pp.211~ (1985)

관련 논문AI추천

PL fibrators among products of hopfian manifolds김용국, 정찬식대한수학회 · 대한수학회보2006 · 제43권 제4호The PL fibrators among geometric 4-manifolds김용국대한수학회 · 대한수학회논문집2004 · 제19권 제2호Necessary and sufficient conditions for codimension-$k$ maps to be approximate fibrations임영호대한수학회 · 대한수학회논문집2003 · 제18권 제2호MANIFOLDS WITH TRIVIAL HOMOLOGY GROUPS IN SOME RANGE AS CODIMENSION-K FIBRATORS임영호대한수학회 · 대한수학회논문집2010 · 제25권 제2호Partially ashpherical manifolds with nonzero Euler characteristic as PL fibrators김용국, 임영호대한수학회 · 대한수학회지2006 · 제43권 제1호Hopf fibrations on lens spacesSungbok Hong대한수학회 · 대한수학회논문집2004 · 제19권 제1호

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