A study of a new dimension for frames

Indisputably, the dimension theory of topological spaces has a rich theory (see, for example [16] and [9]), which was recently enriched by the study [11], where a new dimension, called quasi covering dimension, in the class of topological spaces was inserted. Moreover, the interest of the study of dimensions for frames, such as the covering dimension, the small inductive dimension and the large inductive dimension, is evident (see, for example [2–6]). In this study, we define a new kind of dimension in the realm of frames, called quasi covering dimension, and we study many of its properties in different classes of frames.