When connecting via ssh to a remote computer and then closing the ssh connection closes also the terminal and stops what is in progress. Within the ssh console the program screen allows to connect to a local terminal (screen session) using screen -S <name> and then detach Ctrl+d (or Ctrl+a followed by d), screen -ls shows the sessions and session ID's and later on re-attach screen -r or screen -r <session ID>

Ctrl+a ? gives help