In this paper, we prove the following result. Let the full metric space X of weight w(X) and the set H⊆X are such that w(X)<|H|<c. Then there is no continuous bijection of the subspace X\backslash H onto σ-compact space. As a result, there is no continuous bijection of the subspace X\backslash H onto the Polish space. Thus, it has been proved that metric compacta are not aτ-spaces for any uncountable cardinal numbers τ. This result is the answer to the question delivered by E.G. Pytkeev in his work (On the properties subclasses of weakly dyadic compact sets, Sib. mat. journal.).