To clear up some confusion is first to separate this into 2 categories:
You have the (1) flash trigger and (2) camera trigger.
These wireless triggers can function as, just triggering the flash wirelessly (not connected to the camera) or triggering the camera (with wires connected to the camera).
Wireless triggers on the other hand usually falls into 3 categories (I hope I'm right):
(1) "Optical" Slave flash..putting more emphasis on the "optical". The flash would have this built-in (usually the older flash) or can be attached to it. It uses a light sensor that is sensitive to the "strobe" of the flash and could not distinguish between other strobes from other flashes.
(2) Wireless "Radio" triggers which uses radio waves/signals to trigger the flash..or camera. Usually has selective frequencies to distinguish your unit from other units that might be near you, so other photogs can't trigger your flash accidentally.
(3) Wireless (usually in HSS orr High Speed Sync) that are built-into the camera itself and the flash (usually the OEM flashes). These use a different frequency (light, I think) to control and trigger these flash with this feature.
I hope I didn't make it more confusing for you.