Abstract
Let $m,n$ be positive integers. In this short note we prove that the set of all continuous and surjective functions from $\mathbb{R}^{m}$ to $\mathbb{R}^{n}$ contains (excluding the $0$ function) a $\mathfrak{c}$-dimensional vector space. This result is optimal in terms of dimension.
Citation
Nacib Gurgel Albuquerque. "Maximal lineability of the set of continuous surjections." Bull. Belg. Math. Soc. Simon Stevin 21 (1) 83 - 87, february 2014. https://doi.org/10.36045/bbms/1394544296
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