The set of second iterates is nowhere dense in c

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Abstract

Let C denote the set of continuous functions mapping [0, 1] into itself endowed with sup norm. It is proved that the set f о f: f ∈ C is nowhere dense in C.

Original languageEnglish
Pages (from-to)1141-1143
Number of pages3
JournalProceedings of the American Mathematical Society
Volume111
Issue number4
DOIs
Publication statusPublished - Apr 1991

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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