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arXiv · 1107.1386

Functor of continuation in Hilbert cube and Hilbert space

Piotr Niemiec
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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 $X \setminus K$. 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.

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Piotr Niemiec. 2011-07-07. Functor of continuation in Hilbert cube and Hilbert space. https://doi.org/10.2478/s11533-013-0386-6

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