Mapping torus
In mathematics, the mapping torus in topology of a homeomorphism f of some topological space X to itself is a particular geometric construction with f. Take the cartesian product of X with a closed interval I, and glue the boundary components together by the static homeomorphism: The result is a fiber bundle whose base is a circle and whose fiber is the original space X. If X is a manifold, Mf will be a manifold of dimension one higher, and it is said to "fiber over the circle".
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Mapping torus
In mathematics, the mapping torus in topology of a homeomorphism f of some topological space X to itself is a particular geometric construction with f. Take the cartesian product of X with a closed interval I, and glue the boundary components together by the static homeomorphism: The result is a fiber bundle whose base is a circle and whose fiber is the original space X. If X is a manifold, Mf will be a manifold of dimension one higher, and it is said to "fiber over the circle".
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En mathématiques et plus parti ...... ar la relation d'équivalence .
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In der Mathematik sind Abbildu ...... bbildungen beschrieben werden.
@de
In mathematics, the mapping to ...... udo-Anosov homeomorphism of S.
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En mathématiques et plus parti ...... ar la relation d'équivalence .
@fr
In der Mathematik sind Abbildu ...... bbildungen beschrieben werden.
@de
In mathematics, the mapping to ...... id to "fiber over the circle".
@en
label
Abbildungstorus
@de
Mapping torus
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Tore d'application
@fr