Perturbations of bounce inflation scenario from $f(T)$ modified gravity
  revisited
  In this work, we revisit the perturbations that are generated in the bounce
inflation scenario constructed within the framework of $f(T)$ theory. It has
been well known that pure $f(T)$ theory cannot give rise to bounce inflation
behavior, so aside from the gravity part, we also employ a canonical scalar
field for minimal extension. We calculate the perturbations in $f(T)$ theory
using the well-established ADM formalism, and find various conditions to avoid
their pathologies. We find that it is indeed very difficult to obtain a healthy
model without those pathologies, however, one may find a way out if a potential
requirement, say, to keep every function continuous, is abandoned.
