Compactness of $\omega^\lambda$ for $\lambda$ singular
General Topology
2016-08-30 v2 Logic
Abstract
We characterize the compactness properties of the product of \lambda\ copies of the space \omega\ with the discrete topology, dealing in particular with the case \lambda\ singular, using regular and uniform ultrafilters, infinitary languages and nonstandard elements. We also deal with products of uncountable regular cardinals with the order topology.
Cite
@article{arxiv.1304.0486,
title = {Compactness of $\omega^\lambda$ for $\lambda$ singular},
author = {Paolo Lipparini},
journal= {arXiv preprint arXiv:1304.0486},
year = {2016}
}
Comments
Treats the case \lambda\ singular only hinted in arXiv:1302.4763; v2 some very minor improvements and corrections