Transfinite Sequences of Continuous and Baire Class 1 Functions

Details Transfinite Sequences of Continuous and Baire Class 1 Functions Transfinite Sequences of Continuous and Baire Class 1 Functions

2011-09-24

arxiv.org/abs/1109.5284v1

Proc. Amer. Math. Soc. 131 (2003), no. 8, 2453-2457

Mathematics

Logic

Scientific paper

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 $X$.

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