  In this paper, the capacity region of the Layered Packet Erasure Broadcast
Channel (LPE-BC) with Channel Output Feedback (COF) available at the
transmitter is investigated. The LPE-BC is a high-SNR approximation of the
fading Gaussian BC recently proposed by Tse and Yates, who characterized the
capacity region for any number of users and any number of layers when there is
no COF. This paper derives capacity inner and outer bounds for the LPE-BC with
COF for the case of two users and any number of layers. The inner bounds
generalize past results for the two-user erasure BC, which is a special case of
the LPE-BC with COF with only one layer. The novelty lies in the use of
\emph{inter-user \& inter-layer network coding} retransmissions (for those
packets that have only been received by the unintended user), where each random
linear combination may involve packets intended for any user originally sent on
any of the layers. Analytical and numerical examples show that the proposed
outer bound is optimal for some LPE-BCs.
