Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416468 | Linear Algebra and its Applications | 2014 | 11 Pages |
Abstract
We introduce the concept of 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 L(M) of M. In particular, we will describe, in terms of L, the lineability and spaceability of the families of the following Darboux-like functions on Rn, n⩾1: extendable, Jones, and almost continuous functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Krzysztof Chris Ciesielski, José L. Gámez-Merino, Daniel Pellegrino, Juan B. Seoane-Sepúlveda,