Barnsley, Michaelvince, Andrew2015-12-070004-9727http://hdl.handle.net/1885/26419Abstract We investigate the topological and metric properties of attractors of an iterated function system (IFS) whose functions may not be contractive. We focus, in particular, on invertible IFSs of finitely many maps on a compact metric space. We rely oKeywords: attractor-repeller; Keywords and phrases iterated function systemThe Conley attractors of an iterated function system201310.1017/S00049727130003482016-02-24