2013/09/08 by Krzysztof Chris Ciesielski, José L. Gámez-Merino, Ciesielski, Krzysztof Chris +6
Decision Sciences · Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #Homotopy and Cohomology in Algebraic Topology #math.FA
paper · pdf · doi:10.48550/arxiv.1309.1965
arxiv created 2013/09/08 · openalex publication_date 2013/09/08 · arxiv updated 2013/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce the concept of \em maximal lineability cardinal number, \mL(M), of a subset M of a topological vector space and study its relation to the cardinal numbers known as: additivity A(M), homogeneous lineability \HL(M), and lineability \LL(M) of M. In particular, we will describe, in terms of \LL, the lineability and spaceability of the families of the following Darboux-like functions on \realn, n≥ 1: extendable, Jones, and almost continuous functions.