Question for baseball fans: caught behind.

[SwissTony]

Hi, I'm a baseball ignoramus. My background is cricket. Probably tells you enough.

In cricket, it quite often happens that a batsmen (batter) just edges the ball and is "caught behind" by the wicketkeeper (catcher). The batsman is then out. Is this legal in baseball? Does it happen often?

I'm not talking about situations where a batter hits a ball basically vertically and the catcher can get under the ball and catch it in the non-foul zone.

Is the usual position of the catcher by definition in the "foul zone".

Please excuse my ignorance.

Thanks to any responses.