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Recurrent points of continuous functions on connected linearly ordered spaces
Alcaraz, D.
Sanchis, M.
1999
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.
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.
Languages
en
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