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http://hdl.handle.net/10077/4334| 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 | 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. | 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 $cl_{L}P(f)=cl_{L}R(f)$. |
Type: | Article | URI: | http://hdl.handle.net/10077/4334 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.30 (1999) s. |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| AlcarazSanchisRendMat30s.pdf | 205.55 kB | Adobe PDF |  View/Open |
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