On Some Sets of Almost Continuous Functions which Locally Aproximate a Fixed Function
und | 04. Aug. 2016
Tatra Mountains Mathematical Publications
Real Functions '15 — Measure Theory, Real Functions, General Topology. Editors: J. Borsík, 2016.
Über diesen Artikel
Online veröffentlicht: 04. Aug. 2016
Seitenbereich: 105 - 118
Eingereicht: 11. Nov. 2015
DOI: https://doi.org/10.1515/tmmp-2016-0009
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© 2016
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.