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ArticleOriginal scientific text

Title

On the C⁰-closing lemma

Authors 1

Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Abstract

A proof of the C⁰-closing lemma for noninvertible discrete dynamical systems and its extension to the noncompact case are presented.

Keywords

ENG
closing lemma, nonwandering point, periodic point

Bibliography

  1. J. Dugundji, Topology, Allyn and Bacon, Boston, 1966.
  2. H. Lehning, Dynamics of typical continuous functions, preprint, 1993.
  3. Z. Nitecki and M. Shub, Filtrations, decompositions and explosions, Amer. J. Math. 97 (1975), 1029-1047.
  4. C. C. Pugh, Improved closing lemma, Amer. J. Math. 89 (1967), 1010-1021.
  5. W. Szlenk, Introduction to the Theory of Smooth Dynamical Systems, Polish Sci. Publ., Warszawa, 1984.
Annales Polonici Mathematici
1996/64/2
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Pages:
131-138
Main language of publication
English
Received
1995-04-10
Accepted
1995-12-12
Published
1996
Exact and natural sciences