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- W2086151974 abstract "G'amez-Merino, Munoz-Fern'andez and Seoane-Sep'ulveda proved that if additivity $mathcal A(mathcal F)>mathfrak c$, then $mathcal F$ is $mathcal A(mathcal F)$-lineable where $mathcal Fsubseteqmathbb R^mathbb R$. They asked if $mathcal A(mathcal F)>mathfrak c$ can be weakened. We answer this question in negative. Moreover, we introduce and study the notions of homogeneous lineability number and lineability number of subsets of linear spaces." @default.
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- W2086151974 date "2013-10-01" @default.
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- W2086151974 title "Additivity and lineability in vector spaces" @default.
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- W2086151974 doi "https://doi.org/10.1016/j.laa.2013.06.007" @default.
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