Generalizing the Ohio completeness property, we introduce the notion of -Ohio completeness. Although many results from a previous paper by the authors may easily be adapted for this new property, there are also some interesting differences. We provide several examples to illustrate this. We also have a consistency result; depending on the value of the cardinal , the countable union of open and -Ohio complete subspaces may or may not be -Ohio complete.
Désirée BASILE. Guit-Jan RIDDERBOS. Jan VAN MILL. "-Ohio completeness." J. Math. Soc. Japan 61 (4) 1293 - 1301, October, 2009. https://doi.org/10.2969/jmsj/06141293