Matija Cencelj*
University of Ljubljana, Slovenia
Quasi-finite complexes
A countable CW complex $K$ is quasi-finite (as defined by A. Karasev)
if for every finite subcomplex $M$ of $K$ there is a finite subcomplex
$e(M)$ such that any map $f:A\rightarrow M$, where $A$ is closed in a
separable metric space $X$ such that $K$ is an absolute extensor of $X$,
has an extension $g: X\rightarrow e(M)$.
We show several properties of quasi-finite complexes.
* This is a joint work with J. Dydak, J. Smrekar, A. Vavpetič, and Z. Virk.
