Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Inverse limits on using piecewise linear unimodal bonding maps

Author(s): W. T. Ingram
Journal: Proc. Amer. Math. Soc. 128 (2000), 279-286.
MSC (1991): Primary 54H20, 54F15, 58F03, 58F08
Posted: June 30, 1999
MathSciNet review: 1618702
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Abstract: In this paper we investigate inverse limits on 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:

[1]: W. T. Ingram, Periodicity and indecomposablility, Proc. Amer. Math. Soc. 123 (1995), 1907-1916. MR 95j:58087
[2]: W. T. Ingram, Inverse limits on [0,1] using tent maps and certain other piecewise linear bonding maps, Continua with the Houston Problem Book (H. Cook, W. T. Ingram, K. Kuperberg, A. Lelek and P. Minc, eds.), Marcel Dekker, New York, 1995. MR 96a:54053
[3]: Sam B. Nadler, Continuum Theory, Marcel Dekker, New York, 1992. MR 93m:54002

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