Transverse invariant measures extends to the ambient space

Abstract

It is shown that any transverse invariant measure of a foliated space can be considered as a measure on the ambient space.

We consider generalized measures, not only probability measures, and possibly not $\sigma$-finite. Transverse invariant measures can extend in several ways to the ambient space, we discuss some reasonable conditions where this extension is unique

Cited by in corpus (2)

• Measurable versions of the LS category on laminations
• LS category on laminations with transverse invariant measure