Feuilletages et topologie spectrale

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概要

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• Let \mathscr{F} be a codimension-one foliation, transversally oriented, of class C<SUP>r</SUP> (r≥q 0) on a connected closed manifold M. The class of a leaf F of \mathscr{F} is defined to be the union of all leaves G with overline{F}=overline{G}. Let X be the space of classes of leaves in M and let X<SUB>0</SUB> be the union of open subsets of X which are homeomorphic to \bm{R} or to S<SUP>1</SUP>. In this paper we prove that if the level of \mathscr{F} is well defined (in the sense of [{12}]), then X-X<SUB>0</SUB> is a spectral space.

• 社団法人 日本数学会の論文

著者

• Echi Othman

  Department Of Mathematics College Of Teachers Riyadh

• BOUACIDA Ezzeddine

  Departement de Mathematiques Faculte des Sciences de Sfax

• SALHI Ezzeddine

  Departement de Mathematiques Faculte des Sciences de Sfax

関連論文

• Feuilletages et topologie spectrale

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