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arXiv · 1109.5284

Transfinite Sequences of Continuous and Baire Class 1 Functions

Márton Elekes·Kenneth Kunen
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Abstract

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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Márton Elekes, Kenneth Kunen. 2011-09-24. Transfinite Sequences of Continuous and Baire Class 1 Functions. https://arxiv.org/abs/1109.5284

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