arXiv:1109.5284 [math.LO]AbstractReferencesReviewsResources
Transfinite Sequences of Continuous and Baire Class 1 Functions
Published 2011-09-24Version 1
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 $X$.
Journal: Proc. Amer. Math. Soc. 131 (2003), no. 8, 2453-2457
Keywords: baire class, transfinite sequences, continuous, natural pointwise partial order, well-ordered monotone sequences
Tags: journal article
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