On geometric properties of functors of positive-homogenous and semiadditive functionals

• Date: 2010
• Main Authors: Karchevs’ka, L. I., Карчевська, Л. І .
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2959
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the functor $OH$ of positive-homogenous functionals and the functor $OS$ of semiadditive functionals. We prove that $OH(X)$ is an absolute retract if and only if $X$ is an open-generated compactum, and $OS(X)$ is an absolute retract if and only if $X$ is an opengenerated compactum of...