Today I learnt something that I didn't know exist, so i'm actually really glad that you linked this project, it made me look for details on the spec/standard.

First of all, I looked through your code and couldn't understand how this was implemented. After I found it and researched, it's clear that it's essentially useless[1].

I'm not bashing on your project, I like it, but aside from being a cool gimmick, I can't think of any real world usages?

...Unless your application is LAN-based , offline-heavy, or your have pixies that run around your office pulling out your network cable regularly * chuckles *.

I'll explain, but please correct me if I am way off the mark.

The project connects to the network events

     this.events = {       
        network: ['online', 'offline']
      };
     

These events fire from observing the attribute

    window.navigator.onLine

This attribute returns true, when the system is connected to a network, but returns false when it isn't.

The importance of this is that the attribute is inherently unreliable. A computer can be connected to a network without having Internet access. [2]

This is a barebones minimal example that doesn't have the features you added:

   <!DOCTYPE HTML>
    <html>
     <head>
      <title>Online status</title>
      <script>
       function updateIndicator() {
         document.getElementById('indicator').textContent =
                       navigator.onLine ? 'online' : 'offline';
       }
      </script>
     </head>
     <body onload="updateIndicator()" onoffline="updateIndicator()">
      <p>The network is: <span id="indicator">(state unknown)</span>
     </body>
    </html>

You can see the fiddle here: http://jsfiddle.net/3rRWK/

If you disconnect yourself from your network you will see the fiddle update to "Offline", however, if you pull your phone-line from your router, it will still stay at "Online".

    [1] : It's inherently unreliable. 
          A computer can be connected to a network without internet access.
    [2] : http://www.whatwg.org/specs/web-apps/current-work/multipage/offline.html