Bat's has leap/climb. He moves from the ground onto a building. Must he stop in the first square on top of the building? If he's on the building and tries to run away off the building, must he stop in the first square on the ground?

Where in the FAQ does it state the rule?

No, you dont have to stop moving when changing elevations. This has come up twice in the last 24 hours... But no, it's not true.

Where in the rules does it state that???

It doesn't. That's why it's not true.

Leap/Climbers can move anywhere on the map without hinderance.

Page 18 of the Marvel Infinity Challenge HeroClix Rule Book:

"Elevated terrain can be reached in many ways, including climbing stairs or ladders, scaling or jumping walls with leap/climb super power, or by a flying character in either hovering or soaring mode."

It says nothing about having to stop when changing elevations.

okay, in that case, where does it state that you must stop movment when you change elevation ? Or are you saying that there is no rule that you have to stop when you change elevation?

You dont have to stop when changing elevation. It was just some stupid rule rumor.

Only time is when you get knocked back off a building. You stop on the first square... you don't go flying off the full knockback.

You only stop if you enter hindering terrian. Unless you have leap/climb, Phasing, or flying.

Can they also ignore barriers when moving? It says in the PAC that they can't end their move on top of barrier,but can they move thru the barrier?