On ∞-entropy points in real analysis

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