caa a22 4500 445378808 CHVBK 20180317143011.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10485-009-9218-z doi (NATIONALLICENCE)springer-10.1007/s10485-009-9218-z Niemiec Piotr Institute of Mathematics, Jagiellonian University, ul. Łojasiewicza 6, 30-348, Kraków, Poland aut Functor of Extension of Contractions on Urysohn Universal Spaces [Elektronische Daten] [Piotr Niemiec] The aim of the paper is to show that there exists a functor of extension of contractions (i.e. nonexpansive maps) between compact subsets of a bounded Urysohn space (see Definition 2.1) to contractions acting on the whole space. The analogous result for the category of isometries between compact subsets of the unbounded Urysohn space is proved. Special properties of the functors are established. Springer Science+Business Media B.V., 2009 Urysohn's universal space nationallicence Ultrahomogeneous spaces nationallicence Functors nationallicence Nonexpansive maps nationallicence Applied Categorical Structures Springer Netherlands 19/6(2011-12-01), 959-967 0927-2852 19:6<959 2011 19 10485 https://doi.org/10.1007/s10485-009-9218-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10485-009-9218-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Niemiec Piotr Institute of Mathematics, Jagiellonian University, ul. Łojasiewicza 6, 30-348, Kraków, Poland aut NATIONALLICENCE 773 0- Applied Categorical Structures Springer Netherlands 19/6(2011-12-01), 959-967 0927-2852 19:6<959 2011 19 10485 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer