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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)
     

Which families of $l$-modal maps are full?

Author(s): R. Galeeva; S. van Strien
Journal: Trans. Amer. Math. Soc. 348 (1996), 3215-3221.
MSC (1991): Primary 58Fxx, 34Cxx, 30-xx
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Abstract | References | Similar articles | Additional information

Abstract: In this paper we shall show that certain conditions which are sufficient for a family of one-dimensional maps to be full cannot be dispensed with.


References:

[C.E.]
P. Collet and J.-P. Eckmann: Iterated Maps of the Interval as Dynamical Systems. Birkhäuser, Boston (1980). MR 82j:58078

[M.T.]
J. Milnor and W. Thurston: On iterated maps of the interval: I,II. In: ``Dynamical Systems: Proc. Univ, of Maryland 1986-87'', Lecture Notes in Mathematics 1342, (1988), 465--563. MR 90a:98083

[M.S.]
W. de Melo and S. van Strien, One-dimensional dynamics. Ergebnisse Series 25, Springer Verlag, Berlin (1993). MR 95a:58035


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Additional Information:

R. Galeeva
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60201
Address at time of publication: UMR 129 CNRS UNSA, 1361 Route des Lucioles Sophia Antipolis, 06560 Valbonne, France
Email: galeeva@doublon.unice.fr

S. van Strien
Affiliation: Department of Mathematics, University of Amsterdam, Amsterdam, The Netherlands
Email: strien@fwi.uva.nl

DOI: 10.1090/S0002-9947-96-01636-4
PII: S 0002-9947(96)01636-4
Keywords: One-dimensional dynamics
Received by editor(s): June 6, 1994
Received by editor(s) in revised form: September 21, 1995
Copyright of article: Copyright 1996, American Mathematical Society


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