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Short, Ian and Sixsmith, David J.
(2019).
DOI: https://doi.org/10.1007/s11854-019-0015-9
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.
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About
- Item ORO ID
- 45214
- Item Type
- Journal Item
- ISSN
- 1565-8538
- Project Funding Details
-
Funded Project Name Project ID Funding Body Not Set Not Set The Open University (OU) Not Set EP/L019841/1 Engineering and Physical Sciences Research Council - Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2019 The Hebrew University of Jerusalem
- Related URLs
- Depositing User
- Ian Short