What you see in Network - Servers as "This-is-the-name-of-your-computer".local IS your computer. (Actually, it's an alias to your computer, as you can tell from the little alias arrow in the bottom left of its icon.)
Your machine is part of your local network, and all machines that are part of your local network are listed there.
If you're not actually connected to any other machines, then your machine IS the local "network", so it's still listed there.