Opuscula Math. 34, no. 4 (2014), 799-812

Opuscula Mathematica

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.

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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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