Welcome, Johan. Your tree, that is who begat whom, where, and when, consists of a set of objective historical facts. No one can change your tree.
Finding and reporting the correct facts requires skill, logic, intuition, access to historical records, and sometimes luck. If you object to other people working alongside you to arrive at the correct facts, which might include correcting errors and omissions, then no shared 'one tree' project is right for you. If you are open to collaborating and cooperating to discover and record accurate information, then I think WikiTree is the best place to do it.