11 papers · 1 filter
Universal C*-algebra of real rank zero
Alex Chigogidze
It is well-known that every commutative separable unital C*-algebra of real rank zero is a quotient of the C*-algebra of all compex continous functions defined on the Cantor cube.…
Extension dimension and refinable maps
Alex Chigogidze, Vesko Valov
Extension dimension is characterized in terms of -maps. We apply this result to prove that extension dimension is preserved by refinable maps between metrizable spaces. It is al…
Menger (Nobeling) manifolds versus Hilbert cube (space) manifolds - a categorical comparison
Alex Chigogidze, V. V. Fedorchuk
We show that the n-homotopy category of connected (n+1)-dimensional Menger manifolds is isomorphic to the homotopy category of connected Hilbert cube manifolds whose k-dimensional…
Universal metric spaces and extension dimension
Alex Chigogidze, Vesko Valov
For any countable -complex and a cardinal number we construct a completely metrizable space of weight with the following properties: $\e X(K,τ)\leq K$…
Compact groups and absolute extensors
Alex Chigogidze
We discuss compact Hausdorff groups from the point of view of the general theory of absolute extensors. In particular, we characterize the class of simple, connected and simply con…
Topological characterization of torus groups
Alex Chigogidze
Topological characterization of torus groups is given.