Necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators
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- by Young Ho Im and Yongkuk Kim PDF
- Proc. Amer. Math. Soc. 129 (2001), 2135-2140 Request permission
Abstract:
Fibrators help detect approximate fibrations. A closed, connected $n$-manifold $N$ is called a codimension-2 fibrator if each map $p:\ M \to B$ defined on an $(n+2)$-manifold $M$ such that all fibre $p^{-1}(b), b\in B$, are shape equivalent to $N$ is an approximate fibration. The most natural objects $N$ to study are s-Hopfian manifolds. In this note we give some necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators.References
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Additional Information
- Young Ho Im
- Affiliation: Department of Mathematics, Pusan National University, Pusan, 609-735, Korea
- Email: yhim@hyowon.pusan.ac.kr
- Yongkuk Kim
- Affiliation: Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea
- Email: yongkuk@knu.ac.kr
- Received by editor(s): October 19, 1999
- Published electronically: December 13, 2000
- Additional Notes: The first author’s research was supported by Korea Research Foundation Grant (KRF-2000-041-D00023)
The second author’s research was supported by Korea Research Foundation Grant (KRF-2000-015-DP0034) - Communicated by: Ralph Cohen
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2135-2140
- MSC (2000): Primary 57N15, 55M25; Secondary 57M10, 54B15
- DOI: https://doi.org/10.1090/S0002-9939-00-05998-0
- MathSciNet review: 1825927