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$\kappa$-Ohio completeness

Désirée BASILE, Guit-Jan RIDDERBOS, and Jan VAN MILL
Source: J. Math. Soc. Japan Volume 61, Number 4 (2009), 1293-1301.

Abstract

Generalizing the Ohio completeness property, we introduce the notion of $\kappa$-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 $\mathfrak{d}$, the countable union of open and $\omega_{1}$-Ohio complete subspaces may or may not be $\omega_{1}$-Ohio complete.

First Page:
Primary Subjects: 54D35, 54G20
Secondary Subjects: 54B05, 54B25
Full-text: Open access

Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1257520508
Digital Object Identifier: doi:10.2969/jmsj/06141293
Mathematical Reviews number (MathSciNet): MR2588512

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