# The *-holonomy group of the Stefan suspension of a diffeomorphism

Annales Polonici Mathematici (1993)

- Volume: 58, Issue: 2, page 123-129
- ISSN: 0066-2216

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topAndrzej Piątkowski. "The *-holonomy group of the Stefan suspension of a diffeomorphism." Annales Polonici Mathematici 58.2 (1993): 123-129. <http://eudml.org/doc/262509>.

@article{AndrzejPiątkowski1993,

abstract = {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 $g|G₀ = id_\{G₀\}$, then we compute the *-holonomy group for the leaf $F₀ ∈ _g$ 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.},

author = {Andrzej Piątkowski},

journal = {Annales Polonici Mathematici},

keywords = {Stefan foliation; suspension; holonomy group; suspending a singular foliation},

language = {eng},

number = {2},

pages = {123-129},

title = {The *-holonomy group of the Stefan suspension of a diffeomorphism},

url = {http://eudml.org/doc/262509},

volume = {58},

year = {1993},

}

TY - JOUR

AU - Andrzej Piątkowski

TI - The *-holonomy group of the Stefan suspension of a diffeomorphism

JO - Annales Polonici Mathematici

PY - 1993

VL - 58

IS - 2

SP - 123

EP - 129

AB - 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 $g|G₀ = id_{G₀}$, then we compute the *-holonomy group for the leaf $F₀ ∈ _g$ 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.

LA - eng

KW - Stefan foliation; suspension; holonomy group; suspending a singular foliation

UR - http://eudml.org/doc/262509

ER -

## References

top- [1] C. Ehresmann, Structures feuilletées, in: Proc. 5th Canad. Math. Congress, Montréal 1961, 109-172.
- [2] A. Piątkowski, A stability theorem for foliations with singularities, Dissertationes Math. 267 (1988). Zbl1003.57500
- [3] A. Piątkowski, On the $*$-holonomy of the inverse image of a Stefan foliation, Acta Univ. Lodz. Folia Math., to appear. Zbl0832.57016
- [4] P. Stefan, Accessible sets, orbits and foliations with singularities, Proc. London Math. Soc. 29 (1974), 699-713. Zbl0342.57015
- [5] P. Ver Eecke, Le groupoïde fondamental d'un feuilletage de Stefan, Publ. Sem. Mat. García de Galdeano, Ser. II, Sec. 3, No. 6, Universidad de Zaragoza, 1986. Zbl0607.57019

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