Definition:Spanning Subset (Matroid)

Definition

Let $M = \struct {S, \mathscr I}$ be a matroid.

A subset $X \subseteq S$ is spanning in $M$ if and only if:

there exists a base $B$ contained in $X$

Sources

• 1976: Dominic Welsh: Matroid Theory ... (previous) ... (next) Chapter $1.$ $\S 2.$ Axiom Systems for a Matroid