Citation
Yh. Im et Y. Kim, Necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators, P AM MATH S, 129(7), 2001, pp. 2135-2140
Citations number
19
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
129
Issue
7
Year of publication
2001
Pages
2135 - 2140
Database
ISI
SICI code
0002-9939(2001)129:7<2135:NASCFS>2.0.ZU;2-2
Abstract
Fibrators help detect approximate fibrations. A closed, connected n-manifol
d N is called a codimension-2 fibrator if each map p : M --> B defined on a
n (n + 2)-manifold M such that all fibre p(-1) (b), b is an element of B, a
re shape equivalent to N is an approximate fibration. The most natural obje
cts 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 fibr
ators.