Independent Bernstein sets and algebraic constructions (Q432350)

This paper is mainly devoted to the thorough study of the following recently considered classes of functions: 1) Perfectly everywhere surjective, strongly everywhere surjective and everywhere discontinuous Darboux functions, 2) Everywhere discontinuous functions that have finitely many values and everywhere discontinuous compact to compact functions, 3) Functions that are continuous in a fixed closed set \(C\). The results (even the definitions) are too complicated to be presented here.