Tree-like continua and 2-to-1 maps
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- by Jo Heath and Van C. Nall
- Proc. Amer. Math. Soc. 132 (2004), 283-289
- DOI: https://doi.org/10.1090/S0002-9939-03-06989-2
- Published electronically: August 19, 2003
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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.References
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Bibliographic Information
- Jo Heath
- Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
- Email: heathjw@auburn.edu
- Van C. Nall
- Affiliation: Department of Mathematics & Computer Science, University of Richmond, Richmond, Virginia 23173
- Email: vnall@richmond.edu
- Received by editor(s): November 16, 2001
- Received by editor(s) in revised form: July 27, 2002
- Published electronically: August 19, 2003
- Communicated by: Alan Dow
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 283-289
- MSC (2000): Primary 54C10
- DOI: https://doi.org/10.1090/S0002-9939-03-06989-2
- MathSciNet review: 2021272