Remote emacs access to my main computer
Solution 1:
Yes, you may easily connect your main computer via and use Emacs on it.
First of all you need to set up your main computer connectable via ssh on your local network (NAT) and connect to it (Dynamic DNS would be good if you have dynamic IP). It depends on your network.
Then you need to install a ssh client on your tablet. There are many ssh clients for android on Google Play, you may use one of them or you may install arch linux/debian to your tablet and use openssh if it is rooted.
After installing ssh client, connect your computer and fire up Emacs!
PS: There is an article on Linux Journal that you may found interesting: http://www.linuxjournal.com/content/swap-your-laptop-ipad-linode