Tree-like continua and 2-to-1 maps

Heath, Jo; Nall, Van

doi:10.1090/S0002-9939-03-06989-2

Tree-like continua and 2-to-1 maps
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by Jo Heath and Van C. Nall PDF

Proc. Amer. Math. Soc. 132 (2004), 283-289 Request permission

Abstract:

It is not known if there is a 2-to-1 map from a continuum onto a tree-like continuum. In fact, it is not known if there is a 2-to-1 map onto a hereditarily decomposable tree-like continuum. We show that the domain of such a map would have to contain an indecomposable continuum.

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