Dense families of selections and finitedimensional spaces
Abstract
A characterization of $n$dimensional spaces via continuous selections avoiding $Z_n$sets is given, and a selection theorem for strongly countabledimensional 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 2001
 arXiv:
 arXiv:math/0111254
 Bibcode:
 2001math.....11254G
 Keywords:

 General Topology;
 54C60;
 54C65
 EPrint:
 22 pages