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

• Datum: 2010
• Hauptverfasser: Karchevs’ka, L. I., Карчевська, Л. І .
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2959
• Назва журналу: 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...