Below you will find pages that utilize the taxonomy term “Foliation”
Problem 139
Are polynomial growth foliations hyperfinite? Is $W^{ws} $ on $\Sigma ^+_{\\{0,1\\}} $ Borel hyperfinite?
Problem 114
$det (I - A) $ as a group invariant for the weak foliation $W^{wu}$, seen as a subgroup lying in some $H_m (M, \mathbb S^1)$?
Problem 112
For a hyperbolic attractor $\Lambda$ of dimension $r$, does $W^s(x) \cap \Lambda $contain a disk of dimension $k := r- Dim W^u (x)?$
Problem 83
Unstable foliations of Anosov diffeos are given by some nilpotent group action.
Problem 82
(Plante) A codimension one minimal foliation has at most one invariant measure
Problem 65
Foliation ergodic theory Ambrose Kakutani (in particular, question 39) Does mixing make any sense? (use category, differentiability, $C^\infty$, analytic structure) Averaging procedure difficulties: ergodic theorems, existence of invariant measures, ergodic decomposition, unique ergodicity and uniform convergence. polynomial growth … Look at some specific foliations Plante’s stuff on connections with homology Does pointwise entropy make sense?
Problem 52
Define $\Omega $(foliation). Does $h >0 $ make sense?
Problem 51
Look for invariant measures of some standard foliations.
Problem 9
Unique ergodicity of $W^u$ for partially Anosov diffeos.