Initial λ-compactness in linearly ordered spaces

2013/06/07 by Lipparini, Paolo
#54A20 #54B10 #54D20 #54F05 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1306.1715

Abstract

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

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