Summary.
We characterize the closure of the set of iterable functions in the space of all continuous self-mappings of a real compact interval endowed with the supremum norm. A full description of iterable functions was given by M. C. Zdun. The present paper continues the research of “near-embeddability” started by W. Jarczyk, who was inspired by a problem of E. Jen presented by Gy. Targonski, and by the present author.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Manuscript received: July 5, 2006 and, in final form, December 31, 2006.
Rights and permissions
About this article
Cite this article
Przebieracz, B. The closure of the set of iterable functions. Aequ. math. 75, 239–250 (2008). https://doi.org/10.1007/s00010-007-2900-z
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00010-007-2900-z