No. Where they share the same universe, Batman lives in Gotham City, and Superman was raised in Smallville, but lives in Metropolis, and at the Fortress of Solitude, The location of the FoS is indeterminate (Arctic, Antarctic, Amazon, Andes, etc.), and both Gotham City and Metropolis are generally related to New York City in this universe.
Because he saves people in Smalville.
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There is a Batman Beyond suit, a 1970's Batman, Batman Inc., Year one Batman, Earth One Batman, Batman The animated series (TAS), Sinestro Corps Batman, And The Dark Knight Returns Batman
Batman is called Batman because he dresses as a bat.
Micheal Keaton played Batman in Batman Returns.
BATMAN is BATMAN... HES AWESOME
Because Jimmy rapped batman.
Batman.
me (batman)
Michael Keaton in Batman and Batman Returns Val Kilmer in Batman Forever George Clooney in Batman & Robin Christian Bale in Batman Begins and The Dark Knight Also: Adam West in "Batman" (1966) Lewis Wilson in "Batman" (1943)
Tim Burton was the director of Batman, Batman Returns. Joel Schumacher directed Batman Forever and Batman and Robin. Christopher Nolan directed Batman Begins.
batman