caa a22 4500 386307105 CHVBK 20180307111533.0 cr unu---uuuuu 161130e198804 xx s 000 0 eng 10.1017/S1446788700029797 doi S1446788700029797 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700029797 Gauld David Department of Mathematics and Statistics University of Auckland Auckland, New Zealand Variation of Fixed-Point and Coincidence Sets [Elektronische Daten] [David Gauld] Topologise the set of continuous self-mappings of a Hausdorff space by the graph topology. When the set of closed subsets of the space is given the upper semi-finite topology then the function which assigns to a map its fixed-point set is continuous. In many familiar cases this is the largest such topology. Related results also hold for the function which assigns to each pair of maps their coincidence set. Copyright © Australian Mathematical Society 1988 primary 54 H 25 nationallicence secondary 54 C 35 nationallicence 54 C 60 nationallicence fixed-point set nationallicence coincidence set nationallicence graph topology nationallicence upper semi-finite topology nationallicence property W nationallicence Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 214-224 1446-7887 44:2<214 1988 44 JAZ https://doi.org/10.1017/S1446788700029797 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700029797 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gauld David Department of Mathematics and Statistics University of Auckland Auckland, New Zealand NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 44/2(1988-04), 214-224 1446-7887 44:2<214 1988 44 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge