An Equivariance Theorem with Applications to Renaming

  • Armando Castañeda
  • Maurice Herlihy
  • Sergio Rajsbaum
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7256)


In the renaming problem, each process in a distributed system is issued a unique name from a large name space, and the processes must coordinate with one another to choose unique names from a much smaller name space.

We show that lower bounds on the solvability of renaming in an asynchronous distributed system can be formulated as a purely topological question about the existence of an equivariant chain map from a “topological disk” to a “topological annulus”. Proving the non-existence of such a map implies the non-existence of a distributed renaming algorithm in several related models of computation.


Chain Complex Prime Power Algebraic Topology Output Complex Protocol Complex 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Armando Castañeda
    • 1
  • Maurice Herlihy
    • 2
  • Sergio Rajsbaum
    • 3
  1. 1.IRISA-INRIARennes CedexFrance
  2. 2.Computer Science DepartmentBrown UniversityProvidenceUSA
  3. 3.Instituto de MatemáticasUniversidad Nacional Autónoma de MéxicoMexico

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