Paolo Lipparini
Published 2013-06-07, updated 2013-07-04Version 3
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.
Comments: v.3 simplified the proof of (4) implies (5) in the Theorem
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