Two-dimension-like functions defined on the class of all Tychonoff spaces
Ivane Tsereteli · Georgian Mathematical Journal · 1995
Abstract. Two-dimension-like functions are constructed on the class of all Tychonoff spaces. Several of their properties, analogous to those of the classical dimension functions, are established. 1. Introduction. All topological spaces discussed in this paper are assumed to be Tychonoff spaces. As usual, Ind, ind, and dim denote the classical dimension functions (the large inductive, small inductive, and covering dimensions, respectively). Let N ′ be the union of all integers ≥ −1 and of one element set consisting