caa a22 4500 477073719 CHVBK 20180405111433.0 cr unu---uuuuu 170330e19961101xx s 000 0 eng 10.1007/BF02259984 doi (NATIONALLICENCE)springer-10.1007/BF02259984 On continuous extensions [Elektronische Daten] [Lawrence Narici, Edward Beckenstein] We consider various possiblities concerning the continuous extension of continuous functions taking values in an ultrametric space. In Section 1 we consider Tietze-type exetension theorems concerning continuous extendibility of continuous functions from compact and closed subsets to the whole space. In Sections 2 and 3 we consider extending "separated” continous functions in such a way that, certain continuous extensions remain separated. Functgions taking values in a complete ultravalued field are dealt with in Section 2, and the real and complex cases in Section 3. Plenum Publishing Corporation, 1996 46S10 nationallicence 54C45 nationallicence 54D35 nationallicence Continuous extension nationallicence Tietze extension theorem nationallicence Narici Lawrence St. John's Univesity, 11439, Jamaica, NY, USA aut Beckenstein Edward St. John's University, 10301, Staten Island, NY, USA aut Georgian Mathematical Journal Kluwer Academic Publishers-Plenum Publishers 3/6(1996-11-01), 565-570 1072-947X 3:6<565 1996 3 11290 https://doi.org/10.1007/BF02259984 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02259984 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Narici Lawrence St. John's Univesity, 11439, Jamaica, NY, USA aut NATIONALLICENCE 700 1- Beckenstein Edward St. John's University, 10301, Staten Island, NY, USA aut NATIONALLICENCE 773 0- Georgian Mathematical Journal Kluwer Academic Publishers-Plenum Publishers 3/6(1996-11-01), 565-570 1072-947X 3:6<565 1996 3 11290 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 378229788 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer