On stability of 3-manifolds

• Autorzy: Sławomir Kwasik , Witold Rosicki
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57S25: Groups acting on specific manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 182
• Numer: 2
• Strony: 169-180

Daty

wydano

2004

Twórcy

autor

Sławomir Kwasik

• Department of Mathematics, Tulane University, New Orleans, LA 70118, U.S.A.

autor

Witold Rosicki

• Department of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/fm182-2-6