Definition:Closure Operator (Matroid)
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Definition
Let $M = \struct{S, \mathscr I}$ be a matroid.
The closure operator of the matroid $M$ is the mapping $\sigma : \powerset S \to \powerset S$ defined by:
Sources
- 1976: Dominic Welsh: Matroid Theory ... (previous) ... (next) Chapter $1.$ $\S 2.$ Axiom Systems for a Matroid