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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.30 (1999) s.
  6. Recurrent points of continuous functions on connected linearly ordered spaces
 
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Recurrent points of continuous functions on connected linearly ordered spaces

Alcaraz, D.
•
Sanchis, M.
1999
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ISSN
0049-4704
http://hdl.handle.net/10077/4334
  • Article

Abstract
Let L be a connected linearly ordered topological space and let f be a continuous function from L into itself. if P (f) and R(f) denote the set of periodic points and the set of recurrent points of f respectively, we show that the center of f is $cl_{L}P(f)$ and the depth of the center is at most 2. Furthermore we have $cl_{L}P(f)=cl_{L}R(f)$.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
30 (1999) suppl.
Subjects
  • linearly ordered spac...

  • periodic point

  • recurrent point

  • non-wandering point

  • center of a function

  • depth of the center

Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
D. Alcaraz and M. Sanchis, "Recurrent points of continuous functions on connected linearly ordered spaces", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 30 (1999) suppl., pp. 1-9.
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