Transfinite Sequences of Continuous and Baire Class 1 Functions

Kenneth Kunen; M\'arton Elekes

arxiv: 1109.5284 · v1 · pith:MRLMW3CGnew · submitted 2011-09-24 · 🧮 math.LO · math.CA· math.GN

Transfinite Sequences of Continuous and Baire Class 1 Functions

M\'arton Elekes , Kenneth Kunen This is my paper

classification 🧮 math.LO math.CAmath.GN

keywords baireclasscontinuousfunctionsordersequencesspacedefined

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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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Transfinite Sequences of Continuous and Baire Class 1 Functions

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