A Hausdorff topological space X is said to be subcompact if it admits a coarser compact Hausdorff topology. P. S. Alexandroff asked the following question: What Hausdorff spaces are subcompact? A compact space X is called a stricta-space if, for any C∈[X]≤ω, there exists a one-to-one continuous map of X∖C onto a compact space Y which can be continuously extended to the entire space X. The paper continues the study of classes of subcompact spaces. It is proved that the product of a compact space and a dyadic compact space without isolated points is a strict a-space.