On the dimension of growth of mappings (Q802165)

In ibid. 1982, No.4, 33-36 (1982; Zbl 0508.54023) the author described m- proximities for a \(T_ 1\) space X with a given map \(f: X\to Y\) and their induced bicompactifications \(\delta_ fX\) and \(f_{\delta}\). Here he uses m-proximities to define a covering type of dimension for X and f and proves them equal, respectively to the usual covering dimension of the remainder \(N=\delta_ fX\setminus X\) and of \(f_{\delta}| N\). This extends to mappings some results of \textit{Yu. M. Smirnov} [Mat. Sb., Nov. Ser. 69(111), 141-160 (1966; Zbl 0161.424)].