Location of Repository

Let C be a closed subset of a topological space X, and let f : C → X. Let us assume that f is continuous and f(x) ∈ C for every x ∈ ∂C. How many times can one iterate f? This paper provides estimates on the number of iterations and examples of their optimality. In particular we show how some topological properties of f, C, X are related to the maximal number of iterations, both in the case of functions and in the more general case of set-valued maps

Topics:
H Social Sciences (General)

Publisher: London School of Economics and Political Science

Year: 2007

OAI identifier:
oai:eprints.lse.ac.uk:6900

Provided by:
LSE Research Online

Download PDF:To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.