1 | | If I understand you correctly, you are talking about submanifolds with codimension 1. But that is a very special case. The implementation of orientations is entirely intrinsic. |

| 1 | Replying to [comment:11 gh-tobiasdiez]: |

| 2 | > For an orientation you only need to specify what is outward pointing. That's the job of the unit-norm vector field X; the opposite orientation is given by -X. |

| 3 | |

| 4 | If I understand you correctly here, you are talking about submanifolds with codimension 1. But that is a very special case. The implementation of orientations is entirely intrinsic. |