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Linearly ordered topological spaces

Linearly ordered topological spaces

m-boundedness, introduced in ?2, is new. Our main results (Theorems 1 and 3) establish the equivalence for linearly ordered spaces of a number of cardinality modifications of, in the first case, paracompactness, and, in the second, compactness. In each instance, this is accomplished by means of a characterization in terms …