General criteria for a strong notion of lineability

Vinícius Vieira Fávaro, Daniel Marinho Pellegrino, Anselmo Baganha Raposo Júnior +1

A subset $A$ of a vector space $X$ is called $\alpha$-lineable whenever $A$ contains, except for the null vector, a subspace of dimension $\alpha$. If $X$ has a topology, then $A$ is $\alpha$-spa…