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1 results

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

  • Part of
  • Satya Deo, David Gauld
  • Journal:
    Journal of the Australian Mathematical Society / Volume 70 / Issue 3 / June 2001
    Published online by Cambridge University Press:
    09 April 2009, pp. 311-322
    Print publication:
    June 2001
    • Article
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  • By blending techniques from set theory and algebraic topology we investigate the order of any homeomorphism of the nth power of the long ray or long line L 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 all finite powers of L are acyclic with respect to Alexander-Spanier cohomology.