Mathematics – General Topology
Scientific paper
2001-11-26
Mathematics
General Topology
22 pages
Scientific paper
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.
Gutev Valentin
Valov Vesko
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