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Torus bundle : ウィキペディア英語版
Torus bundle

In mathematics, in the sub-field of geometric topology, a torus bundle is a kind of surface bundle over the circle, which in turn are a class of three-manifolds.
==Construction==

To obtain a torus bundle: let f be an
orientation-preserving homeomorphism of the
two-dimensional torus T to itself.
Then the three-manifold M(f) is obtained by
* taking the Cartesian product of T and the unit interval and
* gluing one component of the boundary of the resulting manifold to the other boundary component via the map f.
Then M(f) is the torus bundle with monodromy f.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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