Functor of continuation in Hilbert cube and Hilbert space
Abstract
A Z-set in a metric space X is a closed subset K of X such that each map of the Hilbert cube Q into X can uniformly be approximated by maps of Q into X K. The aim of the paper is to show that there exists a functor of extension of maps between Z-sets of Q [or l2] to maps acting on the whole space Q [resp. l2]. Special properties of the functor are proved.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.