Opuscula Math. 34, no. 4 (2014), 799-812
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.
Mathematics Subject Classification: 26A18, 37B40, 26A21, 54H25, 54C08, 54H20.
- Received: 2014-02-03.
- Revised: 2014-02-27.
- Accepted: 2014-02-28.