Does TC stores the object repository somewhere?
I would like to know the path where Test Complete stores the object repository?
Also does Test Complete allows more than one people to work on the same object repository, i.e any concept of global sharing of repository across the network?
Re: Does TC stores the object repository somewhere?
If you mean the Objects collection, the objects are stored in .tcObject files located in the '<Project>\Stores\Objects' directory.
To learn how to share project items among several testers, please see the "Sharing Project Items and Their Child Elements Among Several Projects" and "Sharing Projects and Project Suites Among Several Testers" help topics.