Generalizations of Young's Theorem to real functions of several variables

摘要

In 1907 W. H. Young classified the real-valued Baire one functionson the line which have the Darboux (intermediate-value) property as thosewhich are bilaterally approachable. Here we investigate generalizations of thistheorem to the setting of real-valued Baire one functions of several variableswhich possess various "Darboux-like" properties.