caa a22 4500 38635975X CHVBK 20180307111911.0 cr unu---uuuuu 161130e198902 xx s 000 0 eng 10.1017/S000497270002791X doi S000497270002791X pii (NATIONALLICENCE)cambridge-10.1017/S000497270002791X Sun Shu-Hao Department of Mathematics, Shanghai Institute of Mechanical Engineering, Shanghai, Peoples Republic of China Another approach to extensions of continuous mappings [Elektronische Daten] [Shu-Hao Sun] First, we give a more general extension theorem about continuous mappings. It is shown that the Taimanov-Eilenberg-Steenrod extension theorem and the Engelking extension theorem are special cases and that this theorem implies the Dugunji extension theorem. The localic version of this theorem also generalises Joyal's extension theorem for locales. Then, using the same technique, we obtain another more interesting extension theorem and its applications. In particular, we sharpen a well-known result due to Wallman. Copyright © Australian Mathematical Society 1989 Bulletin of the Australian Mathematical Society Cambridge University Press 39/1(1989-02), 1-9 0004-9727 39:1<1 1989 39 BAZ https://doi.org/10.1017/S000497270002791X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S000497270002791X text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sun Shu-Hao Department of Mathematics, Shanghai Institute of Mechanical Engineering, Shanghai, Peoples Republic of China NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 39/1(1989-02), 1-9 0004-9727 39:1<1 1989 39 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge