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Article
The power of backtracking and the confinement of length
Proceedings of the American Mathematical Society
  • Timothy H. McNicholl, Iowa State University
Document Type
Article
Publication Version
Submitted Manuscript
Publication Date
1-1-2013
DOI
10.1090/S0002-9939-2012-11385-1
Abstract

We 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.

Comments

This is a manuscript of an article published as McNicholl, Timothy. "The power of backtracking and the confinement of length." Proceedings of the American Mathematical Society 141, no. 3 (2013): 1041-1053, doi:10.1090/S0002-9939-2012-11385-1. Posted with permission.

Copyright Owner
American Mathematical Society
Language
en
File Format
application/pdf
Citation Information
Timothy 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/