On stability of 3-manifolds

Sławomir Kwasik, and Witold Rosicki. "On stability of 3-manifolds." Fundamenta Mathematicae 182.2 (2004): 169-180. <http://eudml.org/doc/283196>.

@article{SławomirKwasik2004,
abstract = { 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. },
author = {Sławomir Kwasik, Witold Rosicki},
journal = {Fundamenta Mathematicae},
keywords = {stability of 3-manifolds; product with a sphere},
language = {eng},
number = {2},
pages = {169-180},
title = {On stability of 3-manifolds},
url = {http://eudml.org/doc/283196},
volume = {182},
year = {2004},
}

TY - JOUR
AU - Sławomir Kwasik
AU - Witold Rosicki
TI - On stability of 3-manifolds
JO - Fundamenta Mathematicae
PY - 2004
VL - 182
IS - 2
SP - 169
EP - 180
AB - 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.
LA - eng
KW - stability of 3-manifolds; product with a sphere
UR - http://eudml.org/doc/283196
ER -