The torsion of the group of homeomorphisms of powers of the long line

By blending techniques from set theory and algebraic topology we investigat e the order of any homeomorphism of the nth power of the long ray or long l ine ii having finite order, finding all possible orders when n = 1, 2, 3 or 4 in the first case and when n = 1 or 2 in the second. We also show that a ll finite powers of IL are acyclic with respect to Alexander-Spanier cohomo logy.