You can lock your map with up to three keys:

If you leave a key empty, all users will have at least that level of access to the map. For example, if your Member key is empty, all users will have at least Member access. You must define an Admin key if you want to prevent others from making changes to your map.

Mark Map as Private
Disable Mail Map Keys
Allow members to change entries, in addition to adding entries

Remember to specify a contact email for your map so we can inform you of your keys in case you forget them.