Simulate push button with arduino

AWOL:
You could use a 4066 analogue switch, ut I don't know what you're switching.
Reed relays come in DIL packages, and relay or transistor, you'd still need three of them - you never mentioned space constraints.

Hum ok, what do you mean by

AWOL:
... I don't know what you're switching.

Sorry if am not understanding, and yes sorry about not mentioning the space constrains.

I'll try do explain better so I want to use Arduino, for example using digital outputs such that when I send a HIGH it will connect the inner centre to the outer circle and when it is LOW then there is no connection between them.

EDIT: This circuit board that I've shown is the board of apple headphone controlers

http://david.carne.ca/shuffle_hax/shuffle_remote.html

Thanks,
Tiago