User:Dfeuer/Definition:Strictly Positive Cone

Definition

Let $(G,\circ)$ be a group.

Let $P$ be a cone compatible with $(G,\circ)$.

Then $P$ is a strict positive cone iff:

$P \cap P^{-1} = \varnothing$

That is, if $P$ satisfies Cone Condition Equivalent to Asymmetry.