A.Chigogidze

most citedNotes on two conjectures in Extension Theory

4 citations · 4 across the 1 of their papers we have counts for

collaborators

4 papers

math.AT2002★ 4 cited

Notes on two conjectures in Extension Theory

A. Chigogidze

It is noted that conjectures about the non-existence of universal compacta and compactifications of the given extension dimension for non finitely dominated complexes are not valid…

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.

math.GN2001

Extension dimensional approximation theorem

N. Brodsky, A. Chigogidze

Let $L$ be a countable CW-complex and $F : X \to Y$ be upper semicontinuous $U V^{[L]}$ -valued mapping of a paracompact space $X$ to a complete metric space $Y$ . We prove that if…