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Effective Versions of Local Connectivity Properties
Theory of Computing Systems (2012)
  • Dale Daniel, Lamar University
  • Timothy H. McNicholl, Lamar University
We investigate, and prove equivalent, effective versions of local connectivity and uniformly local arcwise connectivity for connected and computably compact subspaces of Euclidean space. We also prove that Euclidean continua that are computably compact and effectively locally connected are computably arcwise connected.
  • Computable topology,
  • Effective local connectivity,
  • Peano continua
Publication Date
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Citation Information
Dale Daniel and Timothy H. McNicholl. "Effective Versions of Local Connectivity Properties" Theory of Computing Systems Vol. 50 Iss. 4 (2012) p. 621 - 640
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