A.Chigogidze

most citedNotes on two conjectures in Extension Theory

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

collaborators

Showing math.GNShow all

2 papers · 1 filter

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…