Dense families of selections and finite-dimensional spaces
General Topology
2007-05-23 v1
Abstract
A characterization of -dimensional spaces via continuous selections avoiding -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.
Keywords
Cite
@article{arxiv.math/0111254,
title = {Dense families of selections and finite-dimensional spaces},
author = {V. Gutev and V. Valov},
journal= {arXiv preprint arXiv:math/0111254},
year = {2007}
}
Comments
22 pages