4 papers · 1 filter
Sections of Serre fibrations with low-dimensional fibers
N. Brodsky, A. Chigogidze, E. V. Shchepin
It was proved by H. Whitney in 1933 that it is possible to mark a point in all curves in a continuous way. The main result of this paper extends the Whitney theorem to dimensions 2…
C*-algebras of infinite real rank
A. Chigogidze, V. Valov
We introduce the notion of weakly (strongly) infinite real rank for unital -algebras. It is shown that a compact space is weakly (strongly) infine-dimensional if and…
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…
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\…