Geodesic
On stability of 3-manifolds
S/lawomir Kwasik1 ; Witold Rosicki2
1 Department of Mathematics Tulane University New Orleans, LA 70118, U.S.A.
2 Department of Mathematics Gdańsk University Wita Stwosza 57 80-952 Gdańsk, Poland
Fundamenta Mathematicae, Tome 182 (2004) no. 2, pp. 169-180

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm182-2-6
Keywords: address following question different closed oriented manifolds become homeomorphic after taking product sphere geometric manifolds paper provides complete answer question possibly non geometric manifolds establish results which concern manifolds finite fundamental group dimensional fake spherical space forms compare these results results involving fake spherical space forms higher dimensions

S/lawomir Kwasik 1 ; Witold Rosicki 2

1 Department of Mathematics Tulane University New Orleans, LA 70118, U.S.A.
2 Department of Mathematics Gdańsk University Wita Stwosza 57 80-952 Gdańsk, Poland 
@article{10_4064_fm182_2_6,
     author = {S/lawomir Kwasik and Witold Rosicki},
     title = {On stability of 3-manifolds},
     journal = {Fundamenta Mathematicae},
     pages = {169--180},
     publisher = {mathdoc},
     volume = {182},
     number = {2},
     year = {2004},
     doi = {10.4064/fm182-2-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm182-2-6/}
}
TY  - JOUR
AU  - S/lawomir Kwasik
AU  - Witold Rosicki
TI  - On stability of 3-manifolds
JO  - Fundamenta Mathematicae
PY  - 2004
SP  - 169
EP  - 180
VL  - 182
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm182-2-6/
DO  - 10.4064/fm182-2-6
LA  - en
ID  - 10_4064_fm182_2_6
ER  - 
%0 Journal Article
%A S/lawomir Kwasik
%A Witold Rosicki
%T On stability of 3-manifolds
%J Fundamenta Mathematicae
%D 2004
%P 169-180
%V 182
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm182-2-6/
%R 10.4064/fm182-2-6
%G en
%F 10_4064_fm182_2_6
S/lawomir Kwasik; Witold Rosicki. On stability of 3-manifolds. Fundamenta Mathematicae, Tome 182 (2004) no. 2, pp. 169-180. doi: 10.4064/fm182-2-6

Cité par Sources :