3 papers
math.GN2003
Extraordinary dimension theories generated by complexes
A. Chigogidze
We study the extraordinary dimension function dim_{L} introduced by Ščepin. An axiomatic characterization of this dimension function is obtained. We also introduce inductive dimens…
math.GN2001
Topological semigroups and universal spaces related to extension dimension
A. Chigogidze, A. Karasev, M. Zarichnyi
It is proved that there is no structure of left (right) cancelative semigroup on -dimensional universal space for the class of separable compact spaces of extensional dimensio…
math.GN1999
Characterizing the topology of pseudo-boundaries of Euclidean spaces
Alex Chigogidze, M. M. Zarichnyi
We give a topological characterization of the n-dimensional pseudo-boundary of the (2n+1)-dimensional Euclidean space.