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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.30 (1999) s. >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4334
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| Title: | Recurrent points of continuous functions on connected linearly ordered spaces |
| Authors: | Alcaraz, D.
Sanchis, M. |
| Keywords: | linearly ordered space
periodic point
recurrent point
non-wandering point
center of a function
depth of the center |
| Issue Date: | 1999 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche |
| Citation: | 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. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
30 (1999) suppl. |
| 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 $cl_{L}P(f)=cl_{L}R(f)$. |
| URI: | http://hdl.handle.net/10077/4334 |
| ISSN: | 0049-4704 |
| MS Classification: | 54F05
54H20
58F03 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.30 (1999) s.
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