1. Introduction. A linearly ordered space S in which neighborhoods are segments is called a Souslin space if
(i) S is not separable, but
(ii) every collection of disjoint segments of S is countable.
Whether a Souslin space exists is not known; this is the problem referred to in the title and was proposed by Souslin in (2).
Email your librarian or administrator to recommend adding this journal to your organisation's collection.