Transfinite Sequences of Continuous and Baire Class 1 Functions
Logic
2011-09-27 v1 Classical Analysis and ODEs
General Topology
Abstract
The set of continuous or Baire class 1 functions defined on a metric space 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 .
Cite
@article{arxiv.1109.5284,
title = {Transfinite Sequences of Continuous and Baire Class 1 Functions},
author = {Márton Elekes and Kenneth Kunen},
journal= {arXiv preprint arXiv:1109.5284},
year = {2011}
}