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A stability theorem for foliations with singularities

Andrzej Piątkowski — 1988

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

Andrzej Piątkowski — 1993

Annales Polonici Mathematici

The definition of a Stefan suspension of a diffeomorphism is given. If g is the Stefan suspension of the diffeomorphism g over a Stefan foliation , and G₀ ∈ satisfies the condition g | G ₀ = i d G ₀ , then we compute the *-holonomy group for the leaf F ₀ ∈ g 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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