Functor of continuation in Hilbert cube and Hilbert space
General Topology
2014-11-03 v1 Category Theory
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.
Cite
@article{arxiv.1107.1386,
title = {Functor of continuation in Hilbert cube and Hilbert space},
author = {Piotr Niemiec},
journal= {arXiv preprint arXiv:1107.1386},
year = {2014}
}
Comments
9 pages