Geopointe

Grant a User Shape Editing Access

Once a shape has been created by an administrative user, it's possible that another user could need to edit the shape later. By default, Geopointe only allows shape owners to edit their own shapes. To give a user permission to edit another user's shape, they need the Modify All permission for the Geopointe Shapes Object. This can be done at the profile level or by creating a permission set.

Permission Set (Recommended) - To create the permission set, go to Setup | Manage Users | Permission Sets | New. Locate Geopointe Shapes under either Object Settings (new UI) or Custom Object Permissions (old UI), and turn on the Modify All permission. Save and apply to specific users or profiles.

Profiles - This method is best for administrative users, not end users. Go to Setup | Manage Users | Profiles and select the profiles you want to give edit access to. 
Locate Geopointe Shapes under either Object Settings (new UI) or Custom Object Permissions (old UI), and turn on the Modify All permission. Save.

To be clear, if you grant a user the "Modify All" permission for Geopointe Shapes, that user will be able to read/edit/delete/share ALL shape records. Geopointe Shapes are just custom objects, and the standard Salesforce security model applies.