2026-06-07T16:53:01Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/337702025-04-08T14:33:17Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Botelho, G.
author
Cariello, D.
author
Favaro, V.V.
author
Pellegrino, D.
author
Seoane Sepúlveda, Juan Benigno
2023-06-19T13:27:44Z
2023-06-19T13:27:44Z
2014-09
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
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.
eng
On very non-linear subsets on continuous functions
journal article
URL
https://docta.ucm.es/bitstreams/dcd8830b-8664-4963-a4be-23b03c54f9b6/download
File
MD5
6d06a82ddd14a7ed0422fb1f6907265f
153080
application/pdf
Seoane103.pdf