Transfinite Sequences of Continuous and Baire Class 1 Functions
  The set of continuous or Baire class 1 functions defined on a metric space $X$ is endowed with the natural pointwise partial order. We investigate how the possible lengths of well-ordered monotone sequences (with respect to this order) depend on the space $X$. 
M\'arton Elekes and Kenneth Kunen
math.LO math.CA math.GN