%0 Journal Article %A Aizpuru, A. %A Pérez-Eslava, C. %A García-Pacheco, F.J. %T Lineability and coneability of discontinuous functions on R %D 2008 %@ 0033-3883 %U https://hdl.handle.net/20.500.14352/50462 %X We 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. %~