Subalgebras of finite codimension in semiprojective C*-algebras
  We show that semiprojectivity of a C*-algebra is preserved when passing to C*-subalgebras of finite codimension. In particular, any pullback of two semiprojective C*-algebras over a finite-dimensional C*-algebra is again semiprojective. 
Dominic Enders
math.OA