Showing math.ATShow all
3 papers · 1 filter
math.AT2002
Topological model categories generated by finite complexes
A. Chigogidze, A. Karasev
Our main result states that for each finite complex L the category of topological spaces possesses a model category structure (in the sense of Quillen) whose weak equiv…
math.AT2002
Hurewicz theorem for extension dimension
N. Brodsky, A. Chigogidze
We prove a new selection theorem for multivalued mappings of C-space. Using this theorem we prove extension dimensional version of Hurewicz theorem for a closed mapping $f\colon X\…
math.AT2000
Extension dimension and C-spaces
Alex Chigogidze, Vesko Valov
Some generalizations of the classical Hurewicz formula are obtained for extension dimension and C-spaces.