11 papers · 1 filter
Nonmetrizable ANR's admitting a group structure are manifolds
A. Chigogidze
It is shown that a nonmetrizable ANR-space of weight , admitting a group structure, is (topologically) an $\text{\f R}^τ$-manifold.
Extraordinary dimension of maps
A. Chigogidze, V. Valov
We establish a characterization of the extraordinary dimension of perfect maps between metrizable spaces.
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 AE(0)-groups
Alex Chigogidze
We investigate topological AE(0) -groups class of which contains the class of Polish groups as well as the class of all locally compact groups. We establish the existence of an uni…
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…
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: $\e X(K,τ)\leq K$…