Abstract
We discuss additivity and lineability of classes of functions generalizing the concept of injectivity. In particular, we prove that it is consistent with ZFC that the class of almost injective functions has maximal possible lineability, i.e., it contains (with the exception of the zero function) a vector space of cardinality $2^\cont$.
Citation
Krzysztof Płotka. "Lineability and additivity of almost injective functions." Bull. Belg. Math. Soc. Simon Stevin 29 (2) 267 - 274, december 2022. https://doi.org/10.36045/j.bbms.220301
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