1 citations · 2 across the 8 of their papers we have counts for
16 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|…
On intersection of simply connected sets in the plane
E. D. Tymchatyn, V. Valov
Several authors have recently attempted to show that the intersection of three simply connected subcontinua of the plane is simply connected provided it is non-empty and the inters…
Absolute extensors in extension theory
Alex Karasev, Vesko Valov
Let L be a countable and locally finite CW complex. Suppose that the class of all metrizable compacta of extension dimension not greater than L contains a universal element which i…
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…
Extraordinary dimension of maps
A. Chigogidze, V. Valov
We establish a characterization of the extraordinary dimension of perfect maps between metrizable spaces.
Extensional dimension and completion of maps
H. Murat Tuncali, E. D. Tymchatin, Vesko Valov
We prove that any closed map between metrizable spaces can be extended to a closed map between completely metrizable spaces with the same extensional dimension.