Initial \lambda-compactness in linearly ordered spaces

Paolo Lipparini

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arXiv · 1306.1715

Initial \lambda-compactness in linearly ordered spaces

Paolo Lipparini

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Abstract

We show that a linearly ordered topological space is initially \lambda-compact if and only if it is \lambda-bounded, that is, every set of cardinality $\leq \lambda$ has compact closure. As a consequence, every product of initially \lambda-compact linearly ordered topological spaces is initially \lambda-compact.

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BibTeX RIS

Paolo Lipparini. 2013-06-07. Initial \lambda-compactness in linearly ordered spaces. https://arxiv.org/abs/1306.1715

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