Transfer of slicings and stability conditions along functors

Raw phase preimages, the explicit slicing-lifting criterion, phase and order transport, equivariance, phase-indexed induced t-structures, their finite phase-truncation HN theorem, the named Polishchuk/Ind theorem boundary, the transfer of pre-stability and stability conditions themselves, the behaviour of the Bayer property, the mass, and the stability metric under that transfer, the adjoint transposition that turns the paper's pushforward criterion into the inducing hypothesis, and semistability under base change.