Functor of continuation in Hilbert cube and Hilbert space

Details Functor of continuation in Hilbert cube and Hilbert space Functor of continuation in Hilbert cube and Hilbert space

2011-07-07

arxiv.org/abs/1107.1386v1

Mathematics

General Topology

9 pages

Scientific paper

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 $X \setminus K$. The aim of the paper is to show that there exists a functor of extension of maps between $Z$-sets of $Q$ [or $l_2$] to maps acting on the whole space $Q$ [resp. $l_2$]. Special properties of the functor are proved.

Affiliated with

Also associated with

No associations

Rating

Functor of continuation in Hilbert cube and Hilbert space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Functor of continuation in Hilbert cube and Hilbert space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Functor of continuation in Hilbert cube and Hilbert space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-416999