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On Some Sets of Almost Continuous Functions which Locally Aproximate a Fixed Function Cover

On Some Sets of Almost Continuous Functions which Locally Aproximate a Fixed Function

Open Access
|Aug 2016

Abstract

In this paper, we investigate topological properties of the sets of almost continuous functions f: [0,1] → [0,1] which locally approximate a fixed function. This approximation is associated with the certain value of entropy of a function at a fixed point of the primal function.

DOI: https://doi.org/10.1515/tmmp-2016-0009 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 105 - 118
Submitted on: Nov 11, 2015
Published on: Aug 4, 2016
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2016 Anna Loranty, Ryszard J. Pawlak, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.