  The area of research called \textquotedblleft Lineability\textquotedblright%
\ looks for linear structures inside exotic subsets of vector spaces. In the
last decade lineability/spaceability has been investigated in rather general
settings; for instance, Set Theory, Probability Theory, Functional Analysis,
Measure Theory, etc. It is a common feeling that positive results on
lineability/spaceability are quite natural (i.e., in general \textquotedblleft
large\textquotedblright subspaces can be found inside exotic subsets of vector
spaces, in quite different settings) and more restrictive approaches have been
persecuted. In this paper we introduce and explore a new approach in this
direction.
