The main goal of this paper is to introduce and study new classes partial orderings on a set with Krull dimension at most 1. We show that these are related door, submaximal Whyburn T0-spaces.

The power and usefulness of cleavability (also known as splittability) have been well established within the framework of topology by A.V. Arhangel’skii and his associates. The concept was transferred to partially ordered sets by D.J. Marron and T.B.M. McMaster. The connections between topology and order are here exploited as we examine the properties enjoyed by a topological space that is spli...