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arxiv: 1109.3674 · v1 · pith:CXVDXIMInew · submitted 2011-09-16 · 🧮 math.FA

Algebrability, non-linear properties, and special functions

classification 🧮 math.FA
keywords functionsspecialalgebrabilityalgebrasalreadyconclusionsconstructcontinuous
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We construct uncountably generated algebras inside the following sets of special functions: Sierpi\'nski-Zygmund functions, perfectly everywhere surjective functions and nowhere continuous Darboux functions. All conclusions obtained in this paper are improvements of some already known results.

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