κ-Ohio completeness

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概要

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• Generalizing the Ohio completeness property, we introduce the notion of κ-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 d, the countable union of open and ω1-Ohio complete subspaces may or may not be ω1-Ohio complete.

• 社団法人 日本数学会の論文

著者

• Van Mill

  Faculteit Der Exacte Wetenschappen Afdeling Wiskunde Vrije Universiteit

• Basile Desiree

  Faculty of Sciences, Department of Mathematics, Vrije Universiteit

• Ridderbos Guit-Jan

  Faculty of Electrical Engineering, Mathematics and Computer Science

関連論文

• On nonseparable Erdos spaces
• κ-Ohio completeness
• κ-Ohio completeness
• NAGATA'S CONTRIBUTIONS TO DIMENSION THEORY

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