RT Journal Article
T1 Additivity coefficients for all classes in the algebra of Darboux-Like maps on R
A1 Ciesielski, K.C.
A1 Natkaniec, T.
A1 Rodríguez-Vidanes, D.L.
A1 Seoane Sepúlveda, Juan Benigno
AB The class D of generalized continuous functions on R known under the common name of Darboux-like functions is usually described as consisting of eight families of maps: Darboux, connectivity, almost continuous, extendable, peripherally continuous, those having perfect road, and having either the Cantor Intermediate Value Property or the Strong Cantor Intermediate Value Property. The algebra A(D) of classes of functions generated by these families contains 17 atoms. In this work we will calculate the values of the additivity coefficient A(F) for all atoms F in the algebra A(D). We also determine the values A(F) for a lot of other families F∈A(D). Open questions and new directions of research shall also be provided.
PB Springer
SN 1422-6383
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/7726
UL https://hdl.handle.net/20.500.14352/7726
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 21 abr 2025