The fine structure of operator mice
  We develop the theory of abstract fine structural operators and operator-premice. We identify properties, which we require of operator-premice and operators, which ensure that certain basic facts about standard premice generalize. We define fine condensation for operators $\mathcal{F}$ and show that fine condensation and iterability together ensure that $\mathcal{F}$-mice have the fundamental fine structural properties including universality and solidity of the standard parameter. 
Farmer Schlutzenberg and Nam Trang
math.LO