1 citations · 2 across the 3 of their papers we have counts for
7 papers
On commutative and non-commutative C*-algebras with the approximate n-th root property
A. Chigogidze, A. Karasev, K. Kawamura +1
We say that a C*-algebra X has the approximate n-th root property (n\geq 2) if for every a\in X with ||a||\leq 1 and every ε>0 there exits b\in X such that ||b||\leq 1 and ||a-b^n|…
Extension dimension and quasi-finite CW-complexes
Alex Karasev, Vesko Valov
We extend the definition of quasi-finite complexes by considering not necessarily countable complexes. We provide a characterization of quasi-finite complexes in terms of L-inverti…
On two problems in extension theory
A. V. Karasev
In this note we introduce the concept of a quasi-finite complex. Next, we show that for a given countable and locally finite CW complex L the following conditions are equivalent: (…
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…
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…
On [L]-homotopy groups
A. V. Karasev
Some properties of [L]-homotopy group for finite complex L are investigated. It is proved that for complex L whose extension type lying between Sn and Sn+1 n-th [L]-homotopy group…