No way to customize select to looks as combo. comboBox not relies to standard select html element espesially because it lacks possibility of full look and feel customuization. And making combo to looks just as select - could be also problematic as the parts of select (button, list and input) looks differently across different browsers (the second reason for comboBox to have custom markup)
Thanks for your response.
But in the richfaces live demo
the combo box exemple has the effect I'm looking for, those blue arrows.
and the source code has nothing special. This makes me very confused.
Try switching to another skin (e.g. blueSky).