Aizpuru, A.Pérez-Eslava, C.García-Pacheco, F.J.2023-06-202023-06-2020080033-3883https://hdl.handle.net/20.500.14352/50462We construct infinite dimensional vector spaces and positive cones of discontinuous functions on R enjoying some special properties, such as functions with an arbitrary F-sigma set of points of discontinuity, discontinuous Riemann-integrable functions, or functions having either jump or removable discontinuities at a given point. We show that these special phenomena occur more often than one could expect, i.e. in a linear or algebraic way.journal articlehttp://www.math.klte.hu/publi/index.php?p=10http://www.math.klte.hu/publi/index.php?p=1metadata only access517.98LineabilityConeabilityDiscontinuous functionsSet of points of discontinuityAnálisis funcional y teoría de operadores