Lexicographic products as compact spaces of the first Baire clas
General Topology
2019-08-30 v3 Functional Analysis
Abstract
We use lexicographic products to give examples of compact spaces of first Baire class functions on a compact metric space that cannot be represented as spaces of functions with countably many discontinuities.
Keywords
Cite
@article{arxiv.1905.02988,
title = {Lexicographic products as compact spaces of the first Baire clas},
author = {Antonio Avilés and Stevo Todorcevic},
journal= {arXiv preprint arXiv:1905.02988},
year = {2019}
}
Comments
Revised version. A number of mistakes have been corrected