Geodesic
On stability of 3-manifolds
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
Fundamenta Mathematicae, Tome 182 (2004) no. 2, pp. 169-180 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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

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