Did you perform a refresh of the ArcCatalog window?
Yes and restarted Arccatalog a few times and a system restart just in case. still the same as the attached image shows.
Is Topology supported with a Basic license? Any error messages?
No chance for an upgrade as 10.1 is sort of ancient at this time?
it is within arcmap I dont know within catalog though may have to dig into this deeper and also ask my IT guy if that is possible for I don't know the upgrade process.
I believe you should be able to create a topology on a feature dataset (not a single feature class).
Hi Daniel,
Confirming what both Michael Volz and Tamiko Stone posted:
Hope this helps,
Daniel,
That is correct, you can only create a geodatabase if and only if you have Standard and Advanced licenses. Also, the option will be available if there is a feature dataset as it is a property of a feature dataset.
However, you can create map topology from arcmap with basic license but that is not as useful as a geodatabase topology.
Creating a map topology—Help | ArcGIS Desktop
~Shan