# What is the relation between continuity?

What is the relation between continuity and locality if there is any, either in classical or quantum mechanics? Are they the same?

• Do you mean the topological notion of continuity (which Cort Ammon addresses) or do you mean conservation of mass/probability/ energy..... as described by a continuity equation? – WetSavannaAnimal Sep 11 '17 at 23:55
• @westsavannaanimal I mean topological continuity. – user650585 Sep 11 '17 at 23:57