Add to ORKGWe 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.Depto. de Análisis Matemático y Matemática AplicadaFac. de Ciencias MatemáticasInstituto de Matemática Interdisciplinar (IMI)TRUEpu
Functions, discontinuity, epison-delta limit, moduleThis Demonstration gives an example of a functio...
In this paper, we continue the ongoing research on lineability related questions. On this occasion, ...
AbstractWe show that, in analysis, many pathological phenomena occur more often than one could expec...
In this diploma thesis, we are interested in understanding which subsets of real numbers can be sets...
We prove the existence of large algebraic structures - including large vector subspaces or infinitel...
The present work either extends or improves several results on lineability of differentiable functio...
summary:Answering a question asked by K. C. Ciesielski and T. Glatzer in 2013, we construct a $C^1$-...
It is proved the existence of large algebraic structures –including large vector subspaces or infini...
The class of linearly continuous functions f:Rn--\u3eR, that is, having continuous restrictions f|L ...
The class of linearly continuous functions f:Rn--\u3eR, that is, having continuous restrictions f|L ...
For families F of flats (i.e., affine subspaces) of R n , we investigate the classes of F-continuous...
For families F of flats (i.e., affine subspaces) of R n , we investigate the classes of F-continuous...
In this work, we will present the concept of lineability and some applications in sets of functions....
It is known that there is not a two dimensional linear space in R-R every non-zero element of which ...
In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduc...
Functions, discontinuity, epison-delta limit, moduleThis Demonstration gives an example of a functio...
In this paper, we continue the ongoing research on lineability related questions. On this occasion, ...
AbstractWe show that, in analysis, many pathological phenomena occur more often than one could expec...
In this diploma thesis, we are interested in understanding which subsets of real numbers can be sets...
We prove the existence of large algebraic structures - including large vector subspaces or infinitel...
The present work either extends or improves several results on lineability of differentiable functio...
summary:Answering a question asked by K. C. Ciesielski and T. Glatzer in 2013, we construct a $C^1$-...
It is proved the existence of large algebraic structures –including large vector subspaces or infini...
The class of linearly continuous functions f:Rn--\u3eR, that is, having continuous restrictions f|L ...
The class of linearly continuous functions f:Rn--\u3eR, that is, having continuous restrictions f|L ...
For families F of flats (i.e., affine subspaces) of R n , we investigate the classes of F-continuous...
For families F of flats (i.e., affine subspaces) of R n , we investigate the classes of F-continuous...
In this work, we will present the concept of lineability and some applications in sets of functions....
It is known that there is not a two dimensional linear space in R-R every non-zero element of which ...
In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduc...
Functions, discontinuity, epison-delta limit, moduleThis Demonstration gives an example of a functio...
In this paper, we continue the ongoing research on lineability related questions. On this occasion, ...
AbstractWe show that, in analysis, many pathological phenomena occur more often than one could expec...