### Abstract

The notion of a holonomy invariant cochain for a foliation is developed generalizing the idea of a holonomy invariant measure. An example is given on a foliation in which every leaf has exponential growth, and it is shown that if the inclusion of every leaf is trivial on Hx for a codimension one transversally oriented foliation, then holonomy invariant cochains generate all of the one dimensional cohomology.

Original language | English (US) |
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Pages (from-to) | 161-164 |

Number of pages | 4 |

Journal | Proceedings of the American Mathematical Society |

Volume | 62 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 1977 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics