RT Journal Article
T1 On special partitions of [0, 1] and lineability  within families bounded variation functions
A1 Bernal González, L.
A1 Fernández Sánchez, j:
A1 Seoane Sepúlveda, Juan Benigno
A1 Trutschnig, W.
AB We show that there exists large algebraic structures (vector spaces, algebras, closed subspaces, etc.) formed entirely (except for 0), on one hand, by singular, nowhere monotonic functions on [0, 1] and, on the other hand, by absolutely continuous nowhere monotonic functions. Several tools, of independent interest, related to obtaining special partitions of R into uncountable collections will be provided and used. The results obtained in this note are either new or improved version of already existing ones.
LK https://hdl.handle.net/20.500.14352/65270
UL https://hdl.handle.net/20.500.14352/65270
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Junta de Andalucía
NO WISS 2025 project
DS Docta Complutense
RD 9 abr 2025