Reeb stability for nonsingular foliations derived from that for singular ones
On the *-holonomy of the inverse image of a Stefan foliation
A stability theorem for foliations with singularities
CONTENTSIntroduction...........................................................................................51. Preliminaries.....................................................................................62. Chains along a curve......................................................................143. Some topological properties of foliations with singularities..............224. Holonomy group of a leaf................................................................235. A stability theorem...........................................................................346....
The *-holonomy group of the Stefan suspension of a diffeomorphism
The definition of a Stefan suspension of a diffeomorphism is given. If is the Stefan suspension of the diffeomorphism g over a Stefan foliation , and G₀ ∈ satisfies the condition , then we compute the *-holonomy group for the leaf determined by G₀. A representative element of the *-holonomy along the standard imbedding of S¹ into F₀ is characterized. A corollary for the case when G₀ contains only one point is derived.
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