def train_track(self,stable=True,relative=True,verbose=False):
"""
Computes a train-track representative of ``self``.
According to the options computes a relative (or ends when
finding a reduction) and/or stable (with at most one INP
crossing each exponential stratum). ``verbose`` can be either True
or a positive number giving details on the computations.
OUTPUT:
A topological representative of self.
- If ``relative=False``, this topological representative is either
an absolute train-track or fixes a subgraph (with a non
contractible connected component).
- If ``relative=True``, the output is either an absolute
train-track or a relative train-track
- If ``stable=True``, the output is either a stable absolute
train-track or a stable relative train-track (if
relative=False).
"""
from train_track_map import TrainTrackMap
f=self.rose_representative()
f.train_track(verbose)
if len(f._strata)==1:
f=TrainTrackMap(f)
if stable and len(f._strata)==1:
f.stabilize(verbose)
if relative and len(f._strata)>1:
if stable:
f.stable_relative_train_track(verbose)
else:
f.relative_train_track(verbose)
return f
def train_track(self, stable=True, relative=True, verbose=False):
"""
Computes a train-track representative of ``self``.
According to the options computes a relative (or ends when
finding a reduction) and/or stable (with at most one INP
crossing each exponential stratum). ``verbose`` can be either True
or a positive number giving details on the computations.
OUTPUT:
A topological representative of self.
- If ``relative=False``, this topological representative is either
an absolute train-track or fixes a subgraph (with a non
contractible connected component).
- If ``relative=True``, the output is either an absolute
train-track or a relative train-track
- If ``stable=True``, the output is either a stable absolute
train-track or a stable relative train-track (if
relative=False).
"""
from train_track_map import TrainTrackMap
f = self.rose_representative()
f.train_track(verbose)
if len(f._strata) == 1:
f = TrainTrackMap(f)
if stable and len(f._strata) == 1:
f.stabilize(verbose)
if relative and len(f._strata) > 1:
if stable:
f.stable_relative_train_track(verbose)
else:
f.relative_train_track(verbose)
return f
