This is an announcement for the paper "Lineability, spaceability, and additivity cardinals for Darboux-like functions" by Krzysztof Chris Ciesielski, Jose L. Gamez-Merino, Daniel Pellegrino, and Juan B. Seoane-Sepulveda.
Abstract: 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 $\real^n$, $n\ge 1$: extendable, Jones, and almost continuous functions.
Archive classification: math.FA
Submitted from: jseoane@mat.ucm.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1309.1965
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