can other people edit my tree
Answers
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You don't have a tree. All the work you do on profiles for deceased people in FamilySearch Family Tree is in FamilySearche's one-world, universal, wiki-style tree that covers the entire human family. All profiles are open for all users to edit, add more information, add more sources and, ideally, continually improve.
Please see:
and all the articles referenced at the bottom of this one.Profiles of all living people you add to Family Tree are kept in a separate space in the tree that only you can see and only you can edit. You can now create a group of these living person profiles and invite other family members to work on them with you: https://www.familysearch.org/en/help/helpcenter/family-group-trees-learning-center
Recently FamilySearch did introduced an experimental system which has the ability to create a tree outside of the main database that only the creator and people invited by that person can edit:
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