We address the following question: How different can closed, oriented 3-manifolds be if they become homeomorphic after taking a product with a sphere? For geometric 3-manifolds this paper provides a complete answer to this question. For possibly non-geometric 3-manifolds, we establish results which concern 3-manifolds with finite fundamental group (i.e., 3-dimensional fake spherical space forms) and compare these results with results involving fake spherical space forms of higher dimensions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm182-2-6,
author = {S\l awomir Kwasik and Witold Rosicki},
title = {On stability of 3-manifolds},
journal = {Fundamenta Mathematicae},
volume = {184},
year = {2004},
pages = {169-180},
zbl = {1060.57013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm182-2-6}
}
Sławomir Kwasik; Witold Rosicki. On stability of 3-manifolds. Fundamenta Mathematicae, Tome 184 (2004) pp. 169-180. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm182-2-6/