A note on local properties in products
General Topology
2015-06-02 v1
Abstract
We give conditions under which a product of topological spaces satisfies some local property. The conditions are necessary and sufficient when the corresponding global property is preserved under finite products. Further examples include local sequential compactness, local Lindel\"ofness, the local Menger property.
Cite
@article{arxiv.1506.00224,
title = {A note on local properties in products},
author = {Paolo Lipparini},
journal= {arXiv preprint arXiv:1506.00224},
year = {2015}
}
Comments
14 pages