The power of backtracking and the confinement of lengthProceedings of the American Mathematical Society
Publication VersionSubmitted Manuscript
AbstractWe show that there is a point on a computable arc that does not belong to any computable rectifiable curve. We also show that there is a point on a computable rectifiable curve with computable length that does not belong to any computable arc.
Copyright OwnerAmerican Mathematical Society
Citation InformationTimothy H. McNicholl. "The power of backtracking and the confinement of length" Proceedings of the American Mathematical Society Vol. 141 Iss. 3 (2013) p. 1041 - 1053
Available at: http://works.bepress.com/timothy-mcnicholl/15/