A characterization of k-dimensional Nobeling space for every k > 1
by
S. Ageev
Brest State University

Nobeling k-space N_k is the set of points in euclidean 2k+1 space with at most k coordinates rational. It is well-known that N_k has the following properties:

(i) k-dimensional, complete, separable, metric;

(ii) absolute extensor in dimension k; and

(iii) any map of any at most k-dimensional complete separable metric space into N_k can be arbitrarily closely approximated by a closed embedding.

It has been widely conjectured that these properties characterize N_k topologically. We use the Bestvina approach to prove the conjecture in arbitrary dimension k > 1.

Date received: January 16, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caca-10.