Symmetric and Transitive Relation is not necessarily Reflexive/Examples/Subset of Cartesian Plane/Mistake

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Source Work

1967: George McCarty: Topology: An Introduction with Application to Topological Groups:

Chapter $\text{I}$: Sets and Functions
Relations


Mistake

The shaded regions represent relations
Symmetric-Transitive-NonReflexive-Mistake.png

Symmetric and transitive, but not reflexive


Correction

The annotations to the lower corner points of the shaded region are incorrect.

This is what they should look like:

Symmetric-Transitive-NonReflexive.png


Sources