A new class of spaces with all finite powers Lindelof
General Topology
2013-02-22 v1
Abstract
We consider a new class of open covers and classes of spaces defined from them, called "iota spaces". We explore their relationship with epsilon-spaces (that is, spaces having all finite powers Lindelof) and countable network weight. An example of a hereditarily epsilon-space whose square is not hereditarily Lindelof is provided.
Cite
@article{arxiv.1302.5287,
title = {A new class of spaces with all finite powers Lindelof},
author = {Natasha May and Santi Spadaro and Paul Szeptycki},
journal= {arXiv preprint arXiv:1302.5287},
year = {2013}
}
Comments
20 pages