Is it possible to start a multiplayer game of Civ 5 on a LAN connection, save the game in progress, and then at a later point, continue the game over the internet? If so, how can I do this?
After every turn, the game is saved automatically. After you stop playing on a LAN game, you can normally restart by loading the saved game (which takes you to the lobby, so all the players can join again (or be replaced by AI if they don't want to join again)).
I imagine the process would be similar online.