A.Karasev

collaborators

2 papers

math.FA2002

Real rank and squaring mapping for unital C*-algebras

A. Chigogidze, A. Karasev, M. Rordam

It is proved that if X is a compact Hausdorff space of Lebesgue dimension $dim (X)$ , then the squaring mapping $α_{m} : (C (X)_{sa})^{m} \to C (X)_{+}$ , defined by $α_{…

math.GN2001

Approximations and selections of multivalued mappings of finite-dimensional spaces

N. Brodsky, A. Chigogidze, A. Karasev

We prove extension-dimensional versions of finite dimensional selection and approximation theorems. As applications, we obtain several results on extension dimension.