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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Inverse limits on $[0,1]$ using piecewise linear unimodal bonding maps
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by W. T. Ingram PDF
Proc. Amer. Math. Soc. 128 (2000), 279-286 Request permission

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.
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Additional 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