SEQUENTIAL COMPUTABILITY OF A FUNCTION -LIMITING RECURSION VERSUS EFFECTIVE UNIFORMITYTO THE MEMORY OF MARIAN BOYKAN POUR-EL

Abstract

The major objective of this article is a refinement of treatments of the mutual relationship between two notions of “sequential computability” of a function which is possibly Euclidean-discontinuous, one using limiting recursion and one using effective uniformity. We also speculate on these methods from a mathematician’s viewpoint.