Edison cap means screw-in?
I've never heard of 'edison cap'.
The standard screw-in American lamp base is often designated ES type, for Edison Screw. As you might expect, the name derives from the early days of electric light when Thomas Edison was a major proponent (not forgetting that British inventor Joseph Swann has a prior claim to patenting the filament lamp!). The standard size ES fitting is also known as a medium ES or medium Edison base, as there are other sizes.
In Britain, the most common bayonet fitting is designated BC, for Bayonet Cap. Some light fittings take a smaller version of the base which is commonly known as SBC, for Small Bayonet Cap (you'll also see SES - Small Edison Screw - for smaller versions of the screw-in lamp).
As for compact fluorescents, the governments of both the U.K. and U.S. are working on "encouraging" their use by severely restricting the sales of general-purpose incandescent (standard filament) lamps in a few years. Further "encouragement" is being directed in the form of building codes which require certain amounts of fixed lighting fixtures to be the low-energy types -- This is now in place in the U.K., and is likely to be increasingly so in the U.S. (no surprises that California is already ahead of the game in that respect). The official British guidelines are now that where a low-energy light is required, the fitting installed must be a type which will accept
only low-energy lamps, not a standard ES or BC fitting which is capable of accepting a regular filament lamp.
Compact fluoros do have their drawbacks though, and personally I'm not a fan of adopting them wholesale. It takes more energy to manufacture them, and they do contain elements such a mercury which will require more careful recycling and disposal at the end of their useful lives. While this isn't
quite the extreme picture I've seen portrayed in some circles (after all, the fluoresecent tubes which have been used for decades in kitchens also contain mercury), it's certainly going to increase the problem when these lamps become even more widely used.
Although the claimed life is many years, I've already seen plenty failing in relatively short time periods, and many of the cheap brands ("Made in China" -- where else?) have an alarmingly high failure rate straight out of the box. Many types also take a couple of minutes to get up to full brightness after switching on, which is annoying in some applications.