On the definability of Menger spaces which are not /sigma-compact
General Topology
2016-07-19 v1
Abstract
Hurewicz proved completely metrizable Menger spaces are /sigma-compact. We extend this to Cech-complete Menger spaces and consistently to projective Menger metrizable spaces. On the other hand, it is consistent that there is a co-analytic Menger space that is not /sigma-compact.
Keywords
Cite
@article{arxiv.1607.04688,
title = {On the definability of Menger spaces which are not /sigma-compact},
author = {Franklin D. Tall and Secil Tokgoz},
journal= {arXiv preprint arXiv:1607.04688},
year = {2016}
}