Sum theorems for Ohio completeness
Volume 113 / 2008
Colloquium Mathematicum 113 (2008), 91-104
MSC: 54D35, 54B05, 54B25, 54G20.
DOI: 10.4064/cm113-1-6
Abstract
We present several sum theorems for Ohio completeness. We prove that Ohio completeness is preserved by taking $\sigma $-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.
