3 citations · 6 across the 9 of their papers we have counts for
9 papers
Topological groups that realize homogeneity of topological spaces
A. V. Karasev, K. L. Kozlov
We present results on simplifying an acting group preserving properties of actions: transitivity, being a coset space and preserving a fixed equiuniformity in case of a -Tychono…
Root closed function algebras on compacta of large dimension
N. Brodskiy, J. Dydak, A. Karasev +1
Let be a Hausdorff compact space and be the algebra of all continuous complex-valued functions on , endowed with the supremum norm. We say that is (approximate…
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…