Inverse limits on $[0,1]$ using piecewise linear unimodal bonding maps
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- by W. T. Ingram
- Proc. Amer. Math. Soc. 128 (2000), 279-286
- DOI: https://doi.org/10.1090/S0002-9939-99-04969-2
- Published electronically: June 30, 1999
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Abstract:
In this paper we investigate inverse limits on $[0,1]$ using a single bonding map chosen from a two-parameter family of piecewise linear unimodal bonding maps. This investigation focuses on the parameter values at the boundary between an hereditarily decomposable inverse limit and an inverse limit containing an indecomposable continuum.References
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Bibliographic Information
- W. T. Ingram
- Affiliation: Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, Missouri 65401
- Email: INGRAM@UMR.EDU
- Received by editor(s): December 11, 1996
- Received by editor(s) in revised form: March 17, 1998
- Published electronically: June 30, 1999
- Communicated by: Alan Dow
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 279-286
- MSC (1991): Primary 54H20, 54F15, 58F03, 58F08
- DOI: https://doi.org/10.1090/S0002-9939-99-04969-2
- MathSciNet review: 1618702