On geometric properties of functors of positive-homogenous and semiadditive functionals |
| |
| Authors: | L I Karchevs’ka |
| |
| Institution: | (1) OUCL, University of Oxford, Oxford, UK |
| |
| Abstract: | 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 weight ≤ ω1. We investigate the softness of mappings of multiplication of monads generated by these functors. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
