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The *-holonomy group of the Stefan suspension of a diffeomorphism. (English) Zbl 0833.57013

Suspending a singular foliation \({\mathcal G}\) of a manifold \(N\) via a diffeomorphism \(g: N\to N\) the author obtains a new singular foliation \({\mathcal F}\) of \(M= (N\times \mathbb{R})/g\) and shows that the holonomy group of \({\mathcal F}\) at a point \(x_0= [(y_0, 0)]\in M\) (defined by the author in [A stability theorem for foliations with singularities, Diss. Math. 267 (1988)]is isomorphic to the product of the holonomy group \({\mathcal G}\) at \(y_0\in N\) and a group generated by a single element provided that \(g= id\) on the leaf of \({\mathcal G}\) through \(y_0\).

MSC:

57R30 Foliations in differential topology; geometric theory
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