Every dense linear order complete set without endpoints having at most disjoint intervals is order isomorphic to the Continuum of Real Numbers, where is the set of Natural Numbers.
References
Iyanaga, S. and Kawada, Y. (Eds.). ``Souslin's Hypothesis.'' §35E.4 in
in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 137, 1980.