Compact Subsets of the First Baire Class

  title={Compact Subsets of the First Baire Class},
  author={Stevo Todorcevic},
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two selection theorems of E. Helly found in most of the standard texts on real variable (see, e.g., [Lo], [N]). These two theorems are really theorems about a particular example of a compact set of Baire class-1 functions known today as Helly space, the space of all nondecreasing functions from the unit interval I = [0, 1] into itself. More recently, the notion of Baire class-1 function turned out to… CONTINUE READING

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