Functor of extension of -isometric maps between central subsets of the unbounded Urysohn universal space
Piotr Niemiec (2010)
Commentationes Mathematicae Universitatis Carolinae
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The aim of the paper is to prove that in the unbounded Urysohn universal space there is a functor of extension of -isometric maps (i.e. dilations) between central subsets of to -isometric maps acting on the whole space. Special properties of the functor are established. It is also shown that the multiplicative group acts continuously on by -isometries.