Opuscula Math. 34, no. 4 (2014), 799-812
On ∞-entropy points in real analysis
Ewa Korczak-Kubiak
Anna Loranty
Ryszard J. Pawlak
Abstract.
We will consider \(\infty\)-entropy points in the context of the possibilities of approximation mappings by the functions having \(\infty\)-entropy points and belonging to essential (from the point of view of real analysis theory) classes of functions: almost continuous, Darboux Baire one and approximately continuous functions.
Keywords:
topological entropy, Darboux function, almost continuity, Baire one function, approximately continuous function, pseudo fixed point, topology of uniform convergence, compact-open topology, \(\infty\)-entropy point.
Mathematics Subject Classification:
26A18, 37B40, 26A21, 54H25, 54C08, 54H20.
About the authors ▼
Ewa Korczak-Kubiak
Łódź University, Faculty of Mathematics and Computer Science, Banacha 22, 90-238 Łódź, Poland
Anna Loranty
Łódź University, Faculty of Mathematics and Computer Science, Banacha 22, 90-238 Łódź, Poland
Ryszard J. Pawlak
Łódź University, Faculty of Mathematics and Computer Science, Banacha 22, 90-238 Łódź, Poland
About the article ▼
Received: 2014-02-03.
Revised: 2014-02-27.
Accepted: 2014-02-28.
Cite this article as ▼
Ewa Korczak-Kubiak, Anna Loranty, Ryszard J. Pawlak, On ∞-entropy points in real analysis, Opuscula Math. 34, no. 4 (2014), 799-812,
http://dx.doi.org/10.7494/OpMath.2014.34.4.799.
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