논문KCI 등재
Partially ashpherical manifolds with nonzero Euler characteristic as PL fibrators
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Abstract
Approximate fibrations form a useful class of maps. By definition fibrators provide instant detection of maps in this class, and PL fibrators do the same in the PL category. We show that every closed s-hopfian $t$-aspherical manifold $N$ with sparsely Abelian, hopfian fundamental group and $\chi(N) \ne 0$ is a codimension-$(t+1)$ PL fibrator.
참고문헌 (10)
- "\it Submanifold decompositions that induceapproximate fibrations}", pp.173~ (1989)
- "\it PL maps with manifold fibers}" (1992)
- "it Manifolds that induce approximate fibrations in thePL category", pp.267~ (1995)
- "it Real projective spaces are nonfibrators", (1-3), pp.61~ (1999)
- "it Connected sums of4-manifolds as codimension-$k$ fibrators", pp.206~ (2003)
- "it Hopfian and strongly hopfian manifolds", pp.127~ (1999)
- "it Strongly Hopfian manifolds as codimension-$2$fibrators", pp.237~ (1999)
- "it Connected sums of manifolds which induce approximatefibrations", pp.1497~ (2000)
- "1968 Conference on theTopology of Manifolds" (1967), Michigan State Univ.
- "\it A vanishing theorem for Euler characteristics}", pp.211~ (1984)
관련 논문AI추천
The PL fibrators among geometric 4-manifolds김용국대한수학회 · 대한수학회논문집2004 · 제19권 제2호PL fibrators among products of hopfian manifolds김용국, 정찬식대한수학회 · 대한수학회보2006 · 제43권 제4호MANIFOLDS WITH TRIVIAL HOMOLOGY GROUPS IN SOME RANGE AS CODIMENSION-K FIBRATORS임영호대한수학회 · 대한수학회논문집2010 · 제25권 제2호A note on indecomposable 4-manifolds조용승, 홍윤희대한수학회 · 대한수학회보2005 · 제42권 제4호Necessary and sufficient conditions for codimension-$k$ maps to be approximate fibrations임영호대한수학회 · 대한수학회논문집2003 · 제18권 제2호Product of PL fibrators as codimension-$k$ fibrators김용국, 임영호대한수학회 · 대한수학회논문집2007 · 제22권 제2호
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