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Escaping sets of continuous functions

Short, Ian and Sixsmith, David J. (2016). Escaping sets of continuous functions. Journal d'Analyse Mathematique (In Press).

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Abstract

Our objective is to determine which subsets of Rd arise as escaping sets of continuous functions from Rd to itself. We obtain partial answers to this problem, particularly in one dimension, and in the case of open sets. We give a number of examples to show that the situation in one dimension is quite different from the situation in higher dimensions. Our results demonstrate that this problem is both interesting and perhaps surprisingly complicated.

Item Type: Journal Item
Copyright Holders: 2016 Springer
ISSN: 1565-8538
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetThe Open University (OU)
Not SetNot SetEngineering and Physical Sciences Research Council
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 45214
Depositing User: Ian Short
Date Deposited: 29 Jan 2016 11:15
Last Modified: 25 Mar 2019 14:05
URI: http://oro.open.ac.uk/id/eprint/45214
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