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Bing's dogbone space and curtis' conjecture Hutchings, John Edward

Abstract

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.

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