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$ 2$-to-$ 1$ maps with hereditarily indecomposable images


Author: Jo Heath
Journal: Proc. Amer. Math. Soc. 113 (1991), 839-846
MSC: Primary 54C10; Secondary 54E50, 54F15
DOI: https://doi.org/10.1090/S0002-9939-1991-1081696-5
MathSciNet review: 1081696
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1081696-5
Keywords: Hereditarily indecomposable continua, $ 2$-to-$ 1$ map, covering map, pseudoarc, treelike, arclike
Article copyright: © Copyright 1991 American Mathematical Society

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