Bing's dogbone space and curtis' conjecture
John Edward Hutchings · cIRcle (University of British Columbia) · 2011
Bing's dogbone space D is an upper semi continuous decomposition space of E³ which fails to be E³ although the associated decomposition consists only of points and tame arcs. It has proved difficult to find topological properties of D which distinguish it from E³. In this paper, we prove a conjecture of Morton Curtis in 1961 that certain points of D fail to possess small simply connected neighbourhoods.