Title of article :
On uniqueness of Cartesian products of surfaces with boundary
Author/Authors :
Male?i?، نويسنده , , J. and Repov?، نويسنده , , D. and Rosicki، نويسنده , , W. and Zastrow، نويسنده , , A.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2005
Abstract :
It is known that if one of the factors of a decomposition of a manifold into Cartesian product is an interval then the decomposition is not unique. We prove that the decomposition of a 4-manifold (possibly with boundary) into 2-dimensional factors is unique, provided that the factors are not products of 1-manifolds.
Keywords :
Cartesian Product , Künneth formula , Prime 2-manifold , Splitting Theorem , Essential torus , surface , Sufficiently large 3-manifold
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
