Porous and boundary sets in Darboux-like function spaces
Let \(\mathcal F\) and \(\mathcal G\) be two different classes of Darboux-like real functions from the Gibson diagram [see \textit{R.~G.~Gibson} and \textit{T. Natkaniec}, Real Anal. Exch. 22, No.~2, 492-533 (1996; Zbl 0942.26004)]. Assume that \({\mathcal F}\subset {\mathcal G}\). Author studies when \(\mathcal F\) is porous or boundary in \(\mathcal G\).
scientific article; zbMATH DE number 1848899