How to make real-time editable listings with search like in stackoverflow.com?

BACKGROUND:

Lets take stackoverflow site. It's a dynamic Q&A site with jobs. So on high level complexities of such site are real-time editable list generation, scaling, and real-time search. So my questions are

QUESTION:

How to create real-time editable list with search for a stack like website using MySQL, jQuery and HTML/CSS technology (open-source or code-snippets)