top
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.
D. Basile, J. van Mill, and G. J. Ridderbos. "Sum theorems for Ohio completeness." Colloquium Mathematicae 113.1 (2008): 91-104. <http://eudml.org/doc/284000>.
@article{D2008, abstract = {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.}, author = {D. Basile, J. van Mill, G. J. Ridderbos}, journal = {Colloquium Mathematicae}, keywords = {Ohio complete; sum theorem; compactification}, language = {eng}, number = {1}, pages = {91-104}, title = {Sum theorems for Ohio completeness}, url = {http://eudml.org/doc/284000}, volume = {113}, year = {2008}, }
TY - JOUR AU - D. Basile AU - J. van Mill AU - G. J. Ridderbos TI - Sum theorems for Ohio completeness JO - Colloquium Mathematicae PY - 2008 VL - 113 IS - 1 SP - 91 EP - 104 AB - 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. LA - eng KW - Ohio complete; sum theorem; compactification UR - http://eudml.org/doc/284000 ER -