Effective Versions of Local Connectivity PropertiesTheory of Computing Systems (2012)
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
Citation InformationDale Daniel and Timothy H. McNicholl. "Effective Versions of Local Connectivity Properties" Theory of Computing Systems Vol. 50 Iss. 4 (2012) p. 621 - 640
Available at: http://works.bepress.com/timothy-mcnicholl/3/