Graphs of real functions with pathological behaviors
Claudio Bernardi
TL;DR
This paper explores the construction and properties of unusual real functions, such as discontinuous additive functions and everywhere surjections, highlighting their pathological behaviors.
Contribution
It introduces new constructions of real functions with pathological properties, expanding understanding of their behaviors and characteristics.
Findings
Constructed examples of discontinuous additive functions
Examples of functions that are everywhere surjective
Analysis of the pathological behaviors of these functions
Abstract
This paper deals with constructions and properties of unusual function from R to R, as discontinuous additive functions and everywhere surjections.
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