We present several sum theorems for Ohio completeness. We prove that Ohio completeness is preserved by taking σ-locally finite closed sums and also by taking point-finite open sums. We provide counterexamples to show that Ohio completeness is preserved neither by taking locally countable closed sums nor by taking countable open sums.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-6,
author = {D. Basile and J. van Mill and G. J. Ridderbos},
title = {Sum theorems for Ohio completeness},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {91-104},
zbl = {1149.54014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-6}
}
D. Basile; J. van Mill; G. J. Ridderbos. Sum theorems for Ohio completeness. Colloquium Mathematicae, Tome 111 (2008) pp. 91-104. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-6/