2-to-1 maps with hereditarily indecomposable images

Heath, Jo

doi:10.1090/S0002-9939-1991-1081696-5

$2$-to-$1$ maps with hereditarily indecomposable images
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Proc. Amer. Math. Soc. 113 (1991), 839-846 Request permission

Abstract:

It is shown that there is no $2$-to-$1$ map from the pseudoarc, or any treelike continuum, onto a hereditarily indecomposable continuum, and that no hereditarily indecomposable treelike continuum can be the image of a $2$-to-$1$ map.

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Sur quelques proprietes des transformations localement homeomorphes

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Four key questions in the theory of

-to-

maps

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maps on hereditarily indecomposable metric continua

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