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oai:docta.ucm.es:20.500.14352/337702025-04-08T14:33:17Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Botelho, G. author Cariello, D. author Favaro, V.V. author Pellegrino, D. author Seoane Sepúlveda, Juan Benigno author 2014-09 In this paper, we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the maximum only at one point. Inserting a topological flavor to the subject, we prove that results already known for functions defined on certain subsets of R are actually true for functions on quite general topological spaces. In the line of the original results of Gurariy and Quarta, we prove that, depending on the desired dimension, such subspaces may exist or not. 0033-5606 10.1093/qmath/hat043 https://hdl.handle.net/20.500.14352/33770 http://qjmath.oxfordjournals.org/content/65/3/841.abstract http://qjmath.oxfordjournals.org On very non-linear subsets on continuous functions