2003Commentarii Mathematici HelveticiOpen access

Structure of foliations of codimension greater than one

Habib Marzougui, Ezzeddine Salhi

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Abstract

We study the structure of a foliation of high codimension which admits a transverse foliation. We introduce four families of open saturated sets. These open sets have a simple characterization and allow us to establish a structure theorem as in codimension 1.

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We study the structure of a foliation of high codimension which admits a transverse foliation. We introduce four families of open saturated sets. These open sets have a simple characterization and allow us to establish a structure theorem as in codimension 1.

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We study the structure of a foliation of high codimension which admits a transverse foliation. We introduce four families of open saturated sets. These open sets have a simple characterization and allow us to establish a structure theorem as in codimension 1.

Key concepts: Codimension, Foliation (geology), Mathematics, Structured program theorem, Pure mathematics, Characterization (materials science), Transverse plane, Simple (philosophy)

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