Functor of continuation in Hilbert cube and Hilbert space
arXiv:1107.1386 · doi:10.2478/s11533-013-0386-6
Abstract
A -set in a metric space is a closed subset of such that each map of the Hilbert cube into can uniformly be approximated by maps of into . The aim of the paper is to show that there exists a functor of extension of maps between -sets of [or ] to maps acting on the whole space [resp. ]. Special properties of the functor are proved.
9 pages