The power of backtracking and the confinement of length
Date
2013-01-01
Authors
Major Professor
Advisor
Committee Member
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Series Number
Journal Issue
Is Version Of
Versions
Series
Academic or Administrative Unit
Type
article
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.
Rights Statement
Copyright
Sun Jan 01 00:00:00 UTC 2012