Can someone help me understand the properties of the relation $R = \emptyset$ ? It looks to me like it's not reflexive, since there is no element related to any element, so the elements are not related to themselves ! Right ? So, does it mean it's irreflexive ?
About symmetry, I guess I understand it is symmetric, since there is not element related to another..
Same thing makes it's asymmetric and antisymmetric ? Or not necessarily ?
Finally, I don't seem to get why it'd be transitive ! If there is no element !
I hope someone has a clear way of understanding this topic. Thanks !
Sorry, I forgot to add that it's a relation on $N^2$ ... therefore, we can say it's reflexive, symmetric, antisymmetric and transitive. It's not irreflexive and it's not asymmetric ? Right ? thanks to you all !!