%0 Journal Article
%T Dense families of selections and finite-dimensional spaces
%A V. Gutev
%A V. Valov
%J Mathematics
%D 2001
%I arXiv
%X A characterization of $n$-dimensional spaces via continuous selections avoiding $Z_n$-sets is given, and a selection theorem for strongly countable-dimensional spaces is established. We apply these results to prove a generalized Ostrand's theorem and to obtain a new alternative proof of the Hurewicz formula.
%U http://arxiv.org/abs/math/0111254v1