Structure of foliations of codimension greater than one
Habib Marzougui, Ezzeddine Salhi
Abstract
Open-access reader
Habib Marzougui, Ezzeddine Salhi
Abstract
Open-access reader
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)