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Lineability, spaceability, and additivity cardinals for Darboux-like functions

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Ciesielski, Krzysztof Chris and Gámez Merino, José Luis and Pellegrino, Daniel and Seoane-Sepúlveda, Juan B. (2014) Lineability, spaceability, and additivity cardinals for Darboux-like functions. Linear Algebra and its Applications, 440 . pp. 307-317. ISSN 0024-3795

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Official URL: http://www.sciencedirect.com/science/article/pii/S002437951300668X




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 R-n, n >= 1: extendable, Jones, and almost continuous functions


Item Type:Article
Uncontrolled Keywords:Additivity; Lineability; Spaceability; Darboux-like functions; Extendable functions
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:24706
Deposited On:17 Mar 2014 12:40
Last Modified:25 Nov 2016 12:44

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